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314917728 = 25329113117
BaseRepresentation
bin10010110001010…
…100001101100000
3210221120110220120
4102301110031200
51121104331403
651125440240
710542520326
oct2261241540
9727513816
10314917728
11151843394
1289570080
1350321b68
142db77d16
151c9a8e53
hex12c54360

314917728 has 48 divisors (see below), whose sum is σ = 855172080. Its totient is φ = 101351936.

The previous prime is 314917721. The next prime is 314917753. The reversal of 314917728 is 827719413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 314917728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314917721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53775 + ... + 59342.

It is an arithmetic number, because the mean of its divisors is an integer number (17816085).

Almost surely, 2314917728 is an apocalyptic number.

It is an amenable number.

314917728 is an abundant number, since it is smaller than the sum of its proper divisors (540254352).

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

314917728 is a wasteful number, since it uses less digits than its factorization.

314917728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113159 (or 113151 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 314917728 is about 17745.9214469128. The cubic root of 314917728 is about 680.3499697955.

The spelling of 314917728 in words is "three hundred fourteen million, nine hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 113117 226234 339351 452468 678702 904936 1357404 1809872 2714808 3280393 3619744 5429616 6560786 9841179 10859232 13121572 19682358 26243144 39364716 52486288 78729432 104972576 157458864 314917728