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2340112301304 = 2334728146715809
BaseRepresentation
bin100010000011011001100…
…011111111110011111000
322021201020110010220122020
4202003121203333303320
5301320022222120204
64551011023554440
7331032110236311
oct42033143776370
98251213126566
102340112301304
11822488429818
12319642a5ba20
1313c8967a51bb
1481395073608
1540d11e57bd9
hex220d98ffcf8

2340112301304 has 128 divisors (see below), whose sum is σ = 6009236812800. Its totient is φ = 759047045120.

The previous prime is 2340112301249. The next prime is 2340112301339. The reversal of 2340112301304 is 4031032110432.

It is a happy number.

It is a super-2 number, since 2×23401123013042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148016152 + ... + 148031960.

It is an arithmetic number, because the mean of its divisors is an integer number (46947162600).

Almost surely, 22340112301304 is an apocalyptic number.

2340112301304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340112301304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004618406400).

2340112301304 is an abundant number, since it is smaller than the sum of its proper divisors (3669124511496).

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

2340112301304 is a wasteful number, since it uses less digits than its factorization.

2340112301304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2340112301304 its reverse (4031032110432), we get a palindrome (6371144411736).

The spelling of 2340112301304 in words is "two trillion, three hundred forty billion, one hundred twelve million, three hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 281 282 376 467 562 564 843 934 1124 1128 1401 1686 1868 2248 2802 3372 3736 5604 6744 11208 13207 15809 21949 26414 31618 39621 43898 47427 52828 63236 65847 79242 87796 94854 105656 126472 131227 131694 158484 175592 189708 262454 263388 316968 379416 393681 524908 526776 743023 787362 1049816 1486046 1574724 2229069 2972092 3149448 4442329 4458138 5944184 6167669 7382803 8884658 8916276 12335338 13326987 14765606 17769316 17832552 18503007 22148409 24670676 26653974 29531212 35538632 37006014 44296818 49341352 53307948 59062424 74012028 88593636 106615896 148024056 177187272 208789463 346991741 417578926 626368389 693983482 835157852 1040975223 1252736778 1387966964 1670315704 2074567643 2081950446 2505473556 2775933928 4149135286 4163900892 5010947112 6223702929 8298270572 8327801784 12447405858 16596541144 24894811716 49789623432 97504679221 195009358442 292514037663 390018716884 585028075326 780037433768 1170056150652 2340112301304