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314212752 = 243272313553
BaseRepresentation
bin10010101110101…
…000000110010000
3210220020122212100
4102232220012100
51120414302002
651102400400
710533523110
oct2256500620
9726218770
10314212752
11151401767
1289290100
1350136009
142da33040
151c8ba11c
hex12ba8190

314212752 has 120 divisors (see below), whose sum is σ = 1048754304. Its totient is φ = 85865472.

The previous prime is 314212721. The next prime is 314212753. The reversal of 314212752 is 257212413.

It is not an unprimeable number, because it can be changed into a prime (314212753) 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 23 ways as a sum of consecutive naturals, for example, 16408 + ... + 29960.

Almost surely, 2314212752 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 314212752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524377152).

314212752 is an abundant number, since it is smaller than the sum of its proper divisors (734541552).

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

314212752 is a wasteful number, since it uses less digits than its factorization.

314212752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13597 (or 13588 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 314212752 is about 17726.0472751259. The cubic root of 314212752 is about 679.8419125007.

The spelling of 314212752 in words is "three hundred fourteen million, two hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 13553 23184 27106 40659 54212 81318 94871 108424 121977 162636 189742 216848 243954 284613 311719 325272 379484 487908 569226 623438 650544 758968 853839 935157 975816 1138452 1246876 1517936 1707678 1870314 1951632 2182033 2276904 2493752 2805471 3415356 3740628 4364066 4553808 4987504 5610942 6546099 6830712 7481256 8728132 11221884 13092198 13661424 14962512 17456264 19638297 22443768 26184396 34912528 39276594 44887536 52368792 78553188 104737584 157106376 314212752