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404434368 = 26321354011
BaseRepresentation
bin11000000110110…
…010110111000000
31001012000101122200
4120012302313000
51312013344433
6104044233200
713010430642
oct3006626700
91035011580
10404434368
11198324588
12b353b800
1365a34aa0
143b9da892
152578c613
hex181b2dc0

404434368 has 84 divisors (see below), whose sum is σ = 1248433368. Its totient is φ = 124439040.

The previous prime is 404434357. The next prime is 404434379. The reversal of 404434368 is 863434404.

It is an interprime number because it is at equal distance from previous prime (404434357) and next prime (404434379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19518 + ... + 34493.

It is an arithmetic number, because the mean of its divisors is an integer number (14862302).

Almost surely, 2404434368 is an apocalyptic number.

404434368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

404434368 is an abundant number, since it is smaller than the sum of its proper divisors (843999000).

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

404434368 is a wasteful number, since it uses less digits than its factorization.

404434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54042 (or 54029 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 404434368 is about 20110.5536472768. The cubic root of 404434368 is about 739.5190251665.

Adding to 404434368 its sum of digits (36), we get a palindrome (404434404).

The spelling of 404434368 in words is "four hundred four million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 54011 108022 162033 216044 324066 432088 486099 648132 702143 864176 972198 1296264 1404286 1728352 1944396 2106429 2592528 2808572 3456704 3888792 4212858 5185056 5617144 6319287 7777584 8425716 10370112 11234288 12638574 15555168 16851432 22468576 25277148 31110336 33702864 44937152 50554296 67405728 101108592 134811456 202217184 404434368