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313745296 = 24313791669
BaseRepresentation
bin10010101100110…
…101111110010000
3210212100220122011
4102230311332100
51120304322141
651044352304
710526535214
oct2254657620
9725326564
10313745296
11151112537
12890a5694
1350001307
142d950944
151c826881
hex12b35f90

313745296 has 40 divisors (see below), whose sum is σ = 629523200. Its totient is φ = 151320960.

The previous prime is 313745269. The next prime is 313745297. The reversal of 313745296 is 692547313.

It is a happy number.

It is a super-2 number, since 2×3137452962 = 196872221524255232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313745297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187150 + ... + 188818.

It is an arithmetic number, because the mean of its divisors is an integer number (15738080).

Almost surely, 2313745296 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 313745296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314761600).

313745296 is an abundant number, since it is smaller than the sum of its proper divisors (315777904).

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

313745296 is a wasteful number, since it uses less digits than its factorization.

313745296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2081 counting only the distinct ones).

The product of its digits is 136080, while the sum is 40.

The square root of 313745296 is about 17712.8567995115. The cubic root of 313745296 is about 679.5046103542.

The spelling of 313745296 in words is "three hundred thirteen million, seven hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 248 379 496 758 1516 1669 3032 3338 6064 6676 11749 13352 23498 26704 46996 51739 93992 103478 187984 206956 413912 632551 827824 1265102 2530204 5060408 10120816 19609081 39218162 78436324 156872648 313745296