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345253749344 = 2577121708611
BaseRepresentation
bin1010000011000101011…
…10100010001001100000
31020000011022211200110122
411001202232202021200
521124034424434334
6422335110015412
733641465306540
oct5014256421140
91200138750418
10345253749344
1112346a816a49
1256ab4947568
1326732495b9a
14129d3385320
158eaa52232e
hex5062ba2260

345253749344 has 48 divisors (see below), whose sum is σ = 787762112256. Its totient is φ = 145881859200.

The previous prime is 345253749311. The next prime is 345253749349. The reversal of 345253749344 is 443947352543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345253749349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10838402 + ... + 10870209.

It is an arithmetic number, because the mean of its divisors is an integer number (16411710672).

Almost surely, 2345253749344 is an apocalyptic number.

It is an amenable number.

345253749344 is an abundant number, since it is smaller than the sum of its proper divisors (442508362912).

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

345253749344 is a wasteful number, since it uses less digits than its factorization.

345253749344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21708699 (or 21708691 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 53.

The spelling of 345253749344 in words is "three hundred forty-five billion, two hundred fifty-three million, seven hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 7952 15904 21708611 43417222 86834444 151960277 173668888 303920554 347337776 607841108 694675552 1215682216 1541311381 2431364432 3082622762 4862728864 6165245524 10789179667 12330491048 21578359334 24660982096 43156718668 49321964192 86313437336 172626874672 345253749344