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313490016 = 25327155501
BaseRepresentation
bin10010101011110…
…111101001100000
3210211212221110100
4102223313221200
51120223140031
651035102400
710524423030
oct2253675140
9724787410
10313490016
11150a58764
1288ba1a00
134cc42068
142d8c58c0
151c7c5de6
hex12af7a60

313490016 has 72 divisors (see below), whose sum is σ = 1018849104. Its totient is φ = 89568000.

The previous prime is 313489999. The next prime is 313490027. The reversal of 313490016 is 610094313.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75735 + ... + 79766.

It is an arithmetic number, because the mean of its divisors is an integer number (14150682).

Almost surely, 2313490016 is an apocalyptic number.

313490016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313490016 is an abundant number, since it is smaller than the sum of its proper divisors (705359088).

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

313490016 is a wasteful number, since it uses less digits than its factorization.

313490016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155524 (or 155513 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 313490016 is about 17705.6492679596. The cubic root of 313490016 is about 679.3202665495.

The spelling of 313490016 in words is "three hundred thirteen million, four hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 155501 311002 466503 622004 933006 1088507 1244008 1399509 1866012 2177014 2488016 2799018 3265521 3732024 4354028 4976032 5598036 6531042 7464048 8708056 9796563 11196072 13062084 14928096 17416112 19593126 22392144 26124168 34832224 39186252 44784288 52248336 78372504 104496672 156745008 313490016