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314105088 = 2831137181
BaseRepresentation
bin10010101110001…
…101110100000000
3210220001012011210
4102232031310000
51120402330323
651100210120
710532564163
oct2256156400
9726035153
10314105088
11151338890
1289239940
13500c8ccb
142da05ada
151c898293
hex12b8dd00

314105088 has 72 divisors (see below), whose sum is σ = 912000096. Its totient is φ = 95180800.

The previous prime is 314105087. The next prime is 314105149. The reversal of 314105088 is 880501413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314105081) 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, 10143 + ... + 27038.

It is an arithmetic number, because the mean of its divisors is an integer number (12666668).

Almost surely, 2314105088 is an apocalyptic number.

It is an amenable number.

314105088 is an abundant number, since it is smaller than the sum of its proper divisors (597895008).

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

314105088 is a wasteful number, since it uses less digits than its factorization.

314105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37211 (or 37197 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 314105088 is about 17723.0101280793. The cubic root of 314105088 is about 679.7642550741.

The spelling of 314105088 in words is "three hundred fourteen million, one hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 37181 74362 111543 148724 223086 297448 408991 446172 594896 817982 892344 1189792 1226973 1635964 1784688 2379584 2453946 3271928 3569376 4759168 4907892 6543856 7138752 9518336 9815784 13087712 14277504 19631568 26175424 28555008 39263136 52350848 78526272 104701696 157052544 314105088