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315085974 = 2373283541
BaseRepresentation
bin10010110001111…
…101010010010110
3210221220000200220
4102301331102112
51121130222344
651133215210
710544121000
oct2261752226
9727800626
10315085974
11151948835
1289631506
1350380608
142dbbd370
151c9ddc19
hex12c7d496

315085974 has 64 divisors (see below), whose sum is σ = 738854400. Its totient is φ = 89540640.

The previous prime is 315085951. The next prime is 315085997. The reversal of 315085974 is 479580513.

It is an interprime number because it is at equal distance from previous prime (315085951) and next prime (315085997).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582144 + ... + 582684.

It is an arithmetic number, because the mean of its divisors is an integer number (11544600).

Almost surely, 2315085974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315085974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369427200).

315085974 is an abundant number, since it is smaller than the sum of its proper divisors (423768426).

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

315085974 is a wasteful number, since it uses less digits than its factorization.

315085974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 315085974 is about 17750.6612271205. The cubic root of 315085974 is about 680.4711080825.

The spelling of 315085974 in words is "three hundred fifteen million, eighty-five thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 283 294 343 541 566 686 849 1029 1082 1623 1698 1981 2058 3246 3787 3962 5943 7574 11361 11886 13867 22722 26509 27734 41601 53018 79527 83202 97069 153103 159054 185563 194138 291207 306206 371126 459309 556689 582414 918618 1071721 1113378 2143442 3215163 6430326 7502047 15004094 22506141 45012282 52514329 105028658 157542987 315085974