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313414016 = 275346199
BaseRepresentation
bin10010101011100…
…101000110000000
3210211202002012112
4102223211012000
51120213222031
651033314452
710523655326
oct2253450600
9724662175
10313414016
11150a06653
1288b65a28
134cc165a6
142d8a5d16
151c7ad62b
hex12ae5180

313414016 has 32 divisors (see below), whose sum is σ = 636174000. Its totient is φ = 153746944.

The previous prime is 313413983. The next prime is 313414067. The reversal of 313414016 is 610414313.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 313413982 and 313414000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16316 + ... + 29883.

Almost surely, 2313414016 is an apocalyptic number.

It is an amenable number.

313414016 is an abundant number, since it is smaller than the sum of its proper divisors (322759984).

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

313414016 is an equidigital number, since it uses as much as digits as its factorization.

313414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46266 (or 46254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 313414016 is about 17703.5029302113. The cubic root of 313414016 is about 679.2653657974.

Adding to 313414016 its reverse (610414313), we get a palindrome (923828329).

The spelling of 313414016 in words is "three hundred thirteen million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 46199 92398 184796 369592 739184 1478368 2448547 2956736 4897094 5913472 9794188 19588376 39176752 78353504 156707008 313414016