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345125560 = 235132392777
BaseRepresentation
bin10100100100100…
…011001010111000
3220001102012021011
4110210203022320
51201323004220
654125123304
711360342653
oct2444431270
9801365234
10345125560
111678a5a3a
12976b9534
135666a610
1433b9c89a
152047465a
hex149232b8

345125560 has 64 divisors (see below), whose sum is σ = 840067200. Its totient is φ = 126852096.

The previous prime is 345125527. The next prime is 345125587. The reversal of 345125560 is 65521543.

It is a super-2 number, since 2×3451255602 = 238223304330627200, which contains 22 as substring.

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, 122892 + ... + 125668.

It is an arithmetic number, because the mean of its divisors is an integer number (13126050).

Almost surely, 2345125560 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 345125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420033600).

345125560 is an abundant number, since it is smaller than the sum of its proper divisors (494941640).

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

345125560 is a wasteful number, since it uses less digits than its factorization.

345125560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 345125560 is about 18577.5552751163. Note that the first 3 decimals coincide. The cubic root of 345125560 is about 701.4429825702.

The spelling of 345125560 in words is "three hundred forty-five million, one hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 239 260 478 520 956 1195 1912 2390 2777 3107 4780 5554 6214 9560 11108 12428 13885 15535 22216 24856 27770 31070 36101 55540 62140 72202 111080 124280 144404 180505 288808 361010 663703 722020 1327406 1444040 2654812 3318515 5309624 6637030 8628139 13274060 17256278 26548120 34512556 43140695 69025112 86281390 172562780 345125560