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313130320 = 2453914129
BaseRepresentation
bin10010101010011…
…111110101010000
3210211012200001021
4102222133311100
51120130132240
651023245224
710521364246
oct2252376520
9724180037
10313130320
11150832498
1288a49814
134cb47419
142d830796
151c75454a
hex12a9fd50

313130320 has 20 divisors (see below), whose sum is σ = 728028180. Its totient is φ = 125252096.

The previous prime is 313130273. The next prime is 313130333. The reversal of 313130320 is 23031313.

It can be written as a sum of positive squares in 2 ways, for example, as 139523344 + 173606976 = 11812^2 + 13176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 313130294 and 313130303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1956985 + ... + 1957144.

It is an arithmetic number, because the mean of its divisors is an integer number (36401409).

Almost surely, 2313130320 is an apocalyptic number.

It is an amenable number.

313130320 is an abundant number, since it is smaller than the sum of its proper divisors (414897860).

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

313130320 is a wasteful number, since it uses less digits than its factorization.

313130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914142 (or 3914136 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 313130320 is about 17695.4886906239. The cubic root of 313130320 is about 679.0603515236.

Adding to 313130320 its reverse (23031313), we get a palindrome (336161633).

The spelling of 313130320 in words is "three hundred thirteen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3914129 7828258 15656516 19570645 31313032 39141290 62626064 78282580 156565160 313130320