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314755896 = 233713314649
BaseRepresentation
bin10010110000101…
…100101100111000
3210221021020220210
4102300230230320
51121034142041
651122151120
710541244450
oct2260545470
9727236823
10314755896
11151742844
12894b24a0
13502962c0
142db34d60
151c976016
hex12c2cb38

314755896 has 128 divisors (see below), whose sum is σ = 999936000. Its totient is φ = 80317440.

The previous prime is 314755877. The next prime is 314755907. The reversal of 314755896 is 698557413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65380 + ... + 70028.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2314755896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314755896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

314755896 is an abundant number, since it is smaller than the sum of its proper divisors (685180104).

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

314755896 is a wasteful number, since it uses less digits than its factorization.

314755896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4705 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 314755896 is about 17741.3611653672. The cubic root of 314755896 is about 680.2334089163.

The spelling of 314755896 in words is "three hundred fourteen million, seven hundred fifty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4649 4836 5208 5642 8463 9298 9672 11284 13947 16926 18596 22568 27894 32543 33852 37192 55788 60437 65086 67704 97629 111576 120874 130172 144119 181311 195258 241748 260344 288238 362622 390516 423059 432357 483496 576476 725244 781032 846118 864714 1008833 1152952 1269177 1450488 1692236 1729428 1873547 2017666 2538354 3026499 3384472 3458856 3747094 4035332 5076708 5620641 6052998 7494188 8070664 10153416 11241282 12105996 13114829 14988376 22482564 24211992 26229658 39344487 44965128 52459316 78688974 104918632 157377948 314755896