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314443404 = 223311299127
BaseRepresentation
bin10010101111100…
…000011010001100
3210220200101021000
4102233200122030
51120444142104
651111340300
710535503422
oct2257403214
9726611230
10314443404
11151549a90
1289381690
13501b6cb2
142da93112
151c913639
hex12be068c

314443404 has 96 divisors (see below), whose sum is σ = 920102400. Its totient is φ = 91990080.

The previous prime is 314443399. The next prime is 314443411. The reversal of 314443404 is 404344413.

314443404 is a `hidden beast` number, since 314 + 4 + 4 + 340 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29889 + ... + 39015.

It is an arithmetic number, because the mean of its divisors is an integer number (9584400).

Almost surely, 2314443404 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 314443404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460051200).

314443404 is an abundant number, since it is smaller than the sum of its proper divisors (605658996).

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

314443404 is a wasteful number, since it uses less digits than its factorization.

314443404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 314443404 is about 17732.5521005861. The cubic root of 314443404 is about 680.0082207772.

Adding to 314443404 its reverse (404344413), we get a palindrome (718787817).

The spelling of 314443404 in words is "three hundred fourteen million, four hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 8613 9127 11484 17226 18254 27381 34452 36508 54762 82143 100397 109524 164286 200794 246429 264683 301191 328572 401588 492858 529366 602382 794049 903573 985716 1058732 1204764 1588098 1807146 2382147 2710719 2911513 3176196 3614292 4764294 5421438 5823026 7146441 8734539 9528588 10842876 11646052 14292882 17469078 26203617 28585764 34938156 52407234 78610851 104814468 157221702 314443404