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345725994448 = 242341101226871
BaseRepresentation
bin1010000011111101110…
…00000000010111010000
31020001101020110012222001
411001332320000113100
521131021323310243
6422454015523344
733656261315452
oct5017670002720
91201336405861
10345725994448
1112369234675a
1257006b29554
13267a9280b63
1412a39d942d2
158ed6c06a4d
hex507ee005d0

345725994448 has 80 divisors (see below), whose sum is σ = 723108218112. Its totient is φ = 159716480000.

The previous prime is 345725994431. The next prime is 345725994491. The reversal of 345725994448 is 844499527543.

It is a self number, because there is not a number n which added to its sum of digits gives 345725994448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410453 + ... + 1637323.

Almost surely, 2345725994448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345725994448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361554109056).

345725994448 is an abundant number, since it is smaller than the sum of its proper divisors (377382223664).

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

345725994448 is a wasteful number, since it uses less digits than its factorization.

345725994448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227044 (or 227038 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 64.

The spelling of 345725994448 in words is "three hundred forty-five billion, seven hundred twenty-five million, nine hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 41 46 82 92 101 164 184 202 328 368 404 656 808 943 1616 1886 2323 3772 4141 4646 7544 8282 9292 15088 16564 18584 33128 37168 66256 95243 190486 226871 380972 453742 761944 907484 1523888 1814968 3629936 5218033 9301711 10436066 18603422 20872132 22913971 37206844 41744264 45827942 74413688 83488528 91655884 148827376 183311768 213939353 366623536 427878706 527021333 855757412 939472811 1054042666 1711514824 1878945622 2108085332 3423029648 3757891244 4216170664 7515782488 8432341328 15031564976 21607874653 43215749306 86431498612 172862997224 345725994448