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313694680 = 23513733823
BaseRepresentation
bin10010101100101…
…001100111011000
3210212021100012111
4102230221213120
51120301212210
651043322104
710526234515
oct2254514730
9725240174
10313694680
11151088502
1289080334
134ccb4270
142d93a30c
151c81688a
hex12b299d8

313694680 has 64 divisors (see below), whose sum is σ = 762068160. Its totient is φ = 115527168.

The previous prime is 313694669. The next prime is 313694687. The reversal of 313694680 is 86496313.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313694687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380749 + ... + 381571.

It is an arithmetic number, because the mean of its divisors is an integer number (11907315).

Almost surely, 2313694680 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 313694680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381034080).

313694680 is an abundant number, since it is smaller than the sum of its proper divisors (448373480).

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

313694680 is a wasteful number, since it uses less digits than its factorization.

313694680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 313694680 is about 17711.4279492084. The cubic root of 313694680 is about 679.4680672777.

The spelling of 313694680 in words is "three hundred thirteen million, six hundred ninety-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 733 823 1466 1646 2932 3292 3665 4115 5864 6584 7330 8230 9529 10699 14660 16460 19058 21398 29320 32920 38116 42796 47645 53495 76232 85592 95290 106990 190580 213980 381160 427960 603259 1206518 2413036 3016295 4826072 6032590 7842367 12065180 15684734 24130360 31369468 39211835 62738936 78423670 156847340 313694680