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345731866752 = 2737112680893
BaseRepresentation
bin1010000011111110011…
…10011010000010000000
31020001101122111120020210
411001333032122002000
521131024324214002
6422454345434120
733656362244046
oct5017716320200
91201348446223
10345731866752
111236956976a8
1257008a9b940
13267aa5589ac
1412a3aa82396
158ed74b696c
hex507f39a080

345731866752 has 64 divisors (see below), whose sum is σ = 931284855360. Its totient is φ = 113620792320.

The previous prime is 345731866729. The next prime is 345731866769. The reversal of 345731866752 is 257668137543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 345731866692 and 345731866701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6313183 + ... + 6367710.

It is an arithmetic number, because the mean of its divisors is an integer number (14551325865).

Almost surely, 2345731866752 is an apocalyptic number.

345731866752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345731866752 is an abundant number, since it is smaller than the sum of its proper divisors (585552988608).

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

345731866752 is a wasteful number, since it uses less digits than its factorization.

345731866752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680981 (or 12680969 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 345731866752 in words is "three hundred forty-five billion, seven hundred thirty-one million, eight hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 27264 12680893 25361786 38042679 50723572 76085358 101447144 152170716 202894288 304341432 405788576 608682864 811577152 900343403 1217365728 1623154304 1800686806 2434731456 2701030209 3601373612 4869462912 5402060418 7202747224 10804120836 14405494448 21608241672 28810988896 43216483344 57621977792 86432966688 115243955584 172865933376 345731866752