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345124660 = 225234011871
BaseRepresentation
bin10100100100100…
…010111100110100
3220001102011000211
4110210202330310
51201322442120
654125115204
711360340226
oct2444427464
9801364024
10345124660
111678a52a1
12976b8b04
135666a09a
1433b9c416
152047425a
hex14922f34

345124660 has 48 divisors (see below), whose sum is σ = 758564352. Its totient is φ = 131648000.

The previous prime is 345124657. The next prime is 345124691. The reversal of 345124660 is 66421543.

It is a super-2 number, since 2×3451246602 = 238222061880231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183525 + ... + 185395.

It is an arithmetic number, because the mean of its divisors is an integer number (15803424).

Almost surely, 2345124660 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 345124660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379282176).

345124660 is an abundant number, since it is smaller than the sum of its proper divisors (413439692).

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

345124660 is a wasteful number, since it uses less digits than its factorization.

345124660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 345124660 is about 18577.5310523223. The cubic root of 345124660 is about 701.4423728411.

The spelling of 345124660 in words is "three hundred forty-five million, one hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 401 460 802 1604 1871 2005 3742 4010 7484 8020 9223 9355 18446 18710 36892 37420 43033 46115 86066 92230 172132 184460 215165 430330 750271 860660 1500542 3001084 3751355 7502710 15005420 17256233 34512466 69024932 86281165 172562330 345124660