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314133204 = 2237111093119
BaseRepresentation
bin10010101110010…
…100101011010100
3210220002121202010
4102232110223110
51120404230304
651100544220
710533042150
oct2256245324
9726077663
10314133204
11151357a20
1289252070
1350108a48
142da12060
151c8a1789
hex12b94ad4

314133204 has 96 divisors (see below), whose sum is σ = 922521600. Its totient is φ = 80818560.

The previous prime is 314133161. The next prime is 314133221. The reversal of 314133204 is 402331413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99157 + ... + 102275.

It is an arithmetic number, because the mean of its divisors is an integer number (9609600).

Almost surely, 2314133204 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 314133204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461260800).

314133204 is an abundant number, since it is smaller than the sum of its proper divisors (608388396).

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

314133204 is a wasteful number, since it uses less digits than its factorization.

314133204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314133204 is about 17723.8033164442. The cubic root of 314133204 is about 679.7845366956.

Adding to 314133204 its reverse (402331413), we get a palindrome (716464617).

The spelling of 314133204 in words is "three hundred fourteen million, one hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 109 132 154 218 231 308 327 436 462 654 763 924 1199 1308 1526 2289 2398 3052 3119 3597 4578 4796 6238 7194 8393 9156 9357 12476 14388 16786 18714 21833 25179 33572 34309 37428 43666 50358 65499 68618 87332 100716 102927 130998 137236 205854 240163 261996 339971 411708 480326 679942 720489 960652 1019913 1359884 1440978 2039826 2379797 2881956 3739681 4079652 4759594 7139391 7479362 9519188 11219043 14278782 14958724 22438086 26177767 28557564 44876172 52355534 78533301 104711068 157066602 314133204