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314435682 = 2351125347
BaseRepresentation
bin10010101111011…
…110100001100010
3210220122222200000
4102233132201202
51120443420212
651111240430
710535442051
oct2257364142
9726588600
10314435682
11151544200
1289379116
13501b3622
142da90398
151c9111dc
hex12bde862

314435682 has 72 divisors (see below), whose sum is σ = 776722128. Its totient is φ = 95265720.

The previous prime is 314435677. The next prime is 314435701. The reversal of 314435682 is 286534413.

It is a super-2 number, since 2×3144356822 = 197739596229610248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56133 + ... + 61479.

Almost surely, 2314435682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314435682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388361064).

314435682 is an abundant number, since it is smaller than the sum of its proper divisors (462286446).

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

314435682 is a wasteful number, since it uses less digits than its factorization.

314435682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5363 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 314435682 is about 17732.3343640932. The cubic root of 314435682 is about 680.0026542572.

The spelling of 314435682 in words is "three hundred fourteen million, four hundred thirty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 891 1089 1782 2178 2673 3267 5346 5347 6534 9801 10694 16041 19602 29403 32082 48123 58806 58817 96246 117634 144369 176451 288738 352902 433107 529353 646987 866214 1058706 1293974 1299321 1588059 1940961 2598642 3176118 3881922 4764177 5822883 9528354 11645766 14292531 17468649 28585062 34937298 52405947 104811894 157217841 314435682