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345192759384 = 233112332756053
BaseRepresentation
bin1010000010111110001…
…01111000000001011000
31020000000002002001222020
411001133011320001120
521123423321300014
6422325050454440
733640125020334
oct5013705700130
91200002061866
10345192759384
1112343934a320
1256a98434420
1326722960455
14129c922a7c4
158ea4ec61a9
hex505f178058

345192759384 has 64 divisors (see below), whose sum is σ = 941491952640. Its totient is φ = 104597516160.

The previous prime is 345192759383. The next prime is 345192759403. The reversal of 345192759384 is 483957291543.

It is a super-2 number, since 2×3451927593842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345192759383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6130302 + ... + 6186354.

It is an arithmetic number, because the mean of its divisors is an integer number (14710811760).

Almost surely, 2345192759384 is an apocalyptic number.

It is an amenable number.

345192759384 is an abundant number, since it is smaller than the sum of its proper divisors (596299193256).

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

345192759384 is a wasteful number, since it uses less digits than its factorization.

345192759384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79400 (or 79396 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 60.

The spelling of 345192759384 in words is "three hundred forty-five billion, one hundred ninety-two million, seven hundred fifty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 23327 46654 56053 69981 93308 112106 139962 168159 186616 224212 256597 279924 336318 448424 513194 559848 616583 672636 769791 1026388 1233166 1345272 1539582 1849749 2052776 2466332 3079164 3699498 4932664 6158328 7398996 14797992 1307548331 2615096662 3922644993 5230193324 7845289986 10460386648 14383031641 15690579972 28766063282 31381159944 43149094923 57532126564 86298189846 115064253128 172596379692 345192759384