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2330343344340 = 22325118081145643
BaseRepresentation
bin100001111010010011010…
…010011000100011010100
322020210000122010110222100
4201322103102120203110
5301140020344004330
64542313413202100
7330235036413234
oct41722322304324
98223018113870
102330343344340
1181932507a870
12317777330330
1313b99a9209ab
1480b09893cc4
154093e4d7060
hex21e934988d4

2330343344340 has 144 divisors (see below), whose sum is σ = 7712325182016. Its totient is φ = 564857932800.

The previous prime is 2330343344323. The next prime is 2330343344341. The reversal of 2330343344340 is 434433430332.

2330343344340 is a `hidden beast` number, since 2 + 3 + 303 + 4 + 3 + 3 + 4 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2330343344295 and 2330343344304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330343344341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15927559 + ... + 16073201.

It is an arithmetic number, because the mean of its divisors is an integer number (53557813764).

Almost surely, 22330343344340 is an apocalyptic number.

2330343344340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330343344340 is an abundant number, since it is smaller than the sum of its proper divisors (5381981837676).

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

2330343344340 is a wasteful number, since it uses less digits than its factorization.

2330343344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153750 (or 153745 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 2330343344340 its reverse (434433430332), we get a palindrome (2764776774672).

The spelling of 2330343344340 in words is "two trillion, three hundred thirty billion, three hundred forty-three million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 8081 16162 24243 32324 40405 48486 72729 80810 88891 96972 121215 145458 145643 161620 177782 242430 266673 290916 291286 355564 363645 436929 444455 484860 533346 582572 727290 728215 800019 873858 888910 1066692 1310787 1333365 1454580 1456430 1600038 1602073 1747716 1777820 2184645 2621574 2666730 2912860 3200076 3204146 4000095 4369290 4806219 5243148 5333460 6408292 6553935 8000190 8010365 8738580 9612438 13107870 14418657 16000380 16020730 19224876 24031095 26215740 28837314 32041460 48062190 57674628 72093285 96124380 144186570 288373140 1176941083 2353882166 3530823249 4707764332 5884705415 7061646498 10592469747 11769410830 12946351913 14123292996 17654116245 21184939494 23538821660 25892703826 35308232490 38839055739 42369878988 51785407652 52962348735 64731759565 70616464980 77678111478 105924697470 116517167217 129463519130 155356222956 194195278695 211849394940 233034334434 258927038260 388390557390 466068668868 582585836085 776781114780 1165171672170 2330343344340