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311297196 = 22373531427
BaseRepresentation
bin10010100011100…
…000010010101100
3210200202112110210
4102203200102230
51114143002241
650520102420
710466661000
oct2243402254
9720675423
10311297196
1114a7a0211
1288304a10
134c654c32
142d4b4700
151c4e1316
hex128e04ac

311297196 has 96 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 87202752.

The previous prime is 311297179. The next prime is 311297201. The reversal of 311297196 is 691792113.

It is a happy number.

311297196 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 217435 + ... + 218861.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2311297196 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 311297196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

311297196 is an abundant number, since it is smaller than the sum of its proper divisors (552357204).

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

311297196 is a wasteful number, since it uses less digits than its factorization.

311297196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1492 counting only the distinct ones).

The product of its digits is 20412, while the sum is 39.

The square root of 311297196 is about 17643.6162959865. The cubic root of 311297196 is about 677.7326414287.

The spelling of 311297196 in words is "three hundred eleven million, two hundred ninety-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 343 371 588 636 686 742 1029 1113 1372 1427 1484 2058 2226 2597 2854 4116 4281 4452 5194 5708 7791 8562 9989 10388 15582 17124 18179 19978 29967 31164 36358 39956 54537 59934 69923 72716 75631 109074 119868 139846 151262 209769 218148 226893 279692 302524 419538 453786 489461 529417 839076 907572 978922 1058834 1468383 1588251 1957844 2117668 2936766 3176502 3705919 5873532 6353004 7411838 11117757 14823676 22235514 25941433 44471028 51882866 77824299 103765732 155648598 311297196