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313740216 = 2335199811
BaseRepresentation
bin10010101100110…
…100101110111000
3210212100122200000
4102230310232320
51120304141331
651044313000
710526514336
oct2254645670
9725318600
10313740216
11151109739
12890a2760
134cccbbca
142d94cb56
151c8250e6
hex12b34bb8

313740216 has 96 divisors (see below), whose sum is σ = 886704000. Its totient is φ = 103926240.

The previous prime is 313740199. The next prime is 313740227. The reversal of 313740216 is 612047313.

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

It is a self number, because there is not a number n which added to its sum of digits gives 313740216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386451 + ... + 387261.

It is an arithmetic number, because the mean of its divisors is an integer number (9236500).

Almost surely, 2313740216 is an apocalyptic number.

313740216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313740216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443352000).

313740216 is an abundant number, since it is smaller than the sum of its proper divisors (572963784).

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

313740216 is a wasteful number, since it uses less digits than its factorization.

313740216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 313740216 is about 17712.7134002671. The cubic root of 313740216 is about 679.5009429398.

Adding to 313740216 its reverse (612047313), we get a palindrome (925787529).

The spelling of 313740216 in words is "three hundred thirteen million, seven hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 199 216 243 324 398 486 597 648 796 811 972 1194 1592 1622 1791 1944 2388 2433 3244 3582 4776 4866 5373 6488 7164 7299 9732 10746 14328 14598 16119 19464 21492 21897 29196 32238 42984 43794 48357 58392 64476 65691 87588 96714 128952 131382 161389 175176 193428 197073 262764 322778 386856 394146 484167 525528 645556 788292 968334 1291112 1452501 1576584 1936668 2905002 3873336 4357503 5810004 8715006 11620008 13072509 17430012 26145018 34860024 39217527 52290036 78435054 104580072 156870108 313740216