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314353404 = 2232192511831
BaseRepresentation
bin10010101111001…
…010011011111100
3210220111210210200
4102233022123330
51120433302104
651105403500
710534650141
oct2257123374
9726453720
10314353404
11151498402
1289339590
1350185041
142da6c3c8
151c8e6b39
hex12bca6fc

314353404 has 72 divisors (see below), whose sum is σ = 840228480. Its totient is φ = 98820000.

The previous prime is 314353399. The next prime is 314353427. The reversal of 314353404 is 404353413.

314353404 is a `hidden beast` number, since 314 + 3 + 5 + 340 + 4 = 666.

314353404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170769 + ... + 172599.

It is an arithmetic number, because the mean of its divisors is an integer number (11669840).

Almost surely, 2314353404 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 314353404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420114240).

314353404 is an abundant number, since it is smaller than the sum of its proper divisors (525875076).

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

314353404 is a wasteful number, since it uses less digits than its factorization.

314353404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 314353404 is about 17730.0142131923. The cubic root of 314353404 is about 679.9433372624.

Subtracting 314353404 from its reverse (404353413), we obtain a palindrome (90000009).

The spelling of 314353404 in words is "three hundred fourteen million, three hundred fifty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 251 342 502 684 753 1004 1506 1831 2259 3012 3662 4518 4769 5493 7324 9036 9538 10986 14307 16479 19076 21972 28614 32958 34789 42921 57228 65916 69578 85842 104367 139156 171684 208734 313101 417468 459581 626202 919162 1252404 1378743 1838324 2757486 4136229 5514972 8272458 8732039 16544916 17464078 26196117 34928156 52392234 78588351 104784468 157176702 314353404