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314027712 = 2633181729
BaseRepresentation
bin10010101101111…
…010111011000000
3210212220021001000
4102231322323000
51120342341322
651054412000
710532122455
oct2255727300
9725807030
10314027712
11151295739
1289201000
135009ca1b
142d9c582c
151c8803ac
hex12b7aec0

314027712 has 56 divisors (see below), whose sum is σ = 923188400. Its totient is φ = 104675328.

The previous prime is 314027699. The next prime is 314027719. The reversal of 314027712 is 217720413.

It is a happy number.

It is a super-2 number, since 2×3140277122 = 197226807807909888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314027719) 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, 89137 + ... + 92592.

Almost surely, 2314027712 is an apocalyptic number.

314027712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314027712 is an abundant number, since it is smaller than the sum of its proper divisors (609160688).

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

314027712 is a wasteful number, since it uses less digits than its factorization.

314027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181750 (or 181734 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 314027712 is about 17720.8270687347. The cubic root of 314027712 is about 679.7084332483.

The spelling of 314027712 in words is "three hundred fourteen million, twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 181729 363458 545187 726916 1090374 1453832 1635561 2180748 2907664 3271122 4361496 4906683 5815328 6542244 8722992 9813366 11630656 13084488 17445984 19626732 26168976 34891968 39253464 52337952 78506928 104675904 157013856 314027712