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313074960 = 243511118589
BaseRepresentation
bin10010101010010…
…010010100010000
3210211002212002220
4102222102110100
51120121344320
651022141040
710521043662
oct2252222420
9724085086
10313074960
111507a4940
1288a21780
134cb28173
142d818532
151c742e40
hex12a92510

313074960 has 80 divisors (see below), whose sum is σ = 1058771520. Its totient is φ = 75896320.

The previous prime is 313074947. The next prime is 313074991. The reversal of 313074960 is 69470313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 56655 + ... + 61934.

It is an arithmetic number, because the mean of its divisors is an integer number (13234644).

Almost surely, 2313074960 is an apocalyptic number.

313074960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313074960 is an abundant number, since it is smaller than the sum of its proper divisors (745696560).

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

313074960 is a wasteful number, since it uses less digits than its factorization.

313074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118616 (or 118610 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 313074960 is about 17693.9243809846. The cubic root of 313074960 is about 679.0203309163.

The spelling of 313074960 in words is "three hundred thirteen million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 118589 237178 355767 474356 592945 711534 948712 1185890 1304479 1423068 1778835 1897424 2371780 2608958 2846136 3557670 3913437 4743560 5217916 5692272 6522395 7115340 7826874 9487120 10435832 13044790 14230680 15653748 19567185 20871664 26089580 28461360 31307496 39134370 52179160 62614992 78268740 104358320 156537480 313074960