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340004323431120 = 24358772100176919
BaseRepresentation
bin100110101001110110110110…
…0111010111001001011010000
31122120212002120220011122201010
41031103231230322321023100
5324031112323244243440
63203043455130410520
7131421334044226215
oct11523555472711320
91576762526148633
10340004323431120
1199377029756367
1232173147b90a40
1311794368603b3a
145dd64231b7b0c
15294945cddc580
hex1353b6ceb92d0

340004323431120 has 160 divisors (see below), whose sum is σ = 1055279207450880. Its totient is φ = 90558945792000.

The previous prime is 340004323431079. The next prime is 340004323431127. The reversal of 340004323431120 is 21134323400043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340004323431127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4420252021 + ... + 4420328939.

It is an arithmetic number, because the mean of its divisors is an integer number (6595495046568).

Almost surely, 2340004323431120 is an apocalyptic number.

340004323431120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340004323431120 is an abundant number, since it is smaller than the sum of its proper divisors (715274884019760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340004323431120 is a wasteful number, since it uses less digits than its factorization.

340004323431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98813 (or 98807 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 340004323431120 its reverse (21134323400043), we get a palindrome (361138646831163).

The spelling of 340004323431120 in words is "three hundred forty trillion, four billion, three hundred twenty-three million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 877 1754 2631 3508 4385 5262 7016 8770 10524 13155 14032 17540 21001 21048 26310 35080 42002 42096 52620 63003 70160 76919 84004 105005 105240 126006 153838 168008 210010 210480 230757 252012 307676 315015 336016 384595 420020 461514 504024 615352 630030 769190 840040 923028 1008048 1153785 1230704 1260060 1538380 1680080 1846056 2307570 2520120 3076760 3692112 4615140 5040240 6153520 9230280 18417877 18460560 36835754 55253631 67457963 73671508 92089385 110507262 134915926 147343016 184178770 202373889 221014524 269831852 276268155 294686032 337289815 368357540 404747778 442029048 539663704 552536310 674579630 736715080 809495556 884058096 1011869445 1079327408 1105072620 1349159260 1473430160 1615375919 1618991112 2023738890 2210145240 2698318520 3230751838 3237982224 4047477780 4420290480 4846127757 5396637040 6461503676 8076879595 8094955560 9692255514 12923007352 16153759190 16189911120 19384511028 24230638785 25846014704 32307518380 38769022056 48461277570 64615036760 77538044112 96922555140 129230073520 193845110280 387690220560 1416684680963 2833369361926 4250054042889 5666738723852 7083423404815 8500108085778 11333477447704 14166846809630 17000216171556 21250270214445 22666954895408 28333693619260 34000432343112 42500540428890 56667387238520 68000864686224 85001080857780 113334774477040 170002161715560 340004323431120