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834405264 = 243271175253
BaseRepresentation
bin110001101111000…
…000001110010000
32011011002011211200
4301233000032100
53202101432024
6214444111200
726451220260
oct6157001620
92134064750
10834405264
11399000030
121b3535500
13103b3b034
147cb637a0
154d3c12c9
hex31bc0390

834405264 has 120 divisors (see below), whose sum is σ = 2911426752. Its totient is φ = 216725760.

The previous prime is 834405251. The next prime is 834405281. The reversal of 834405264 is 462504438.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26539 + ... + 48714.

Almost surely, 2834405264 is an apocalyptic number.

834405264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

834405264 is an abundant number, since it is smaller than the sum of its proper divisors (2077021488).

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

834405264 is a wasteful number, since it uses less digits than its factorization.

834405264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75285 (or 75276 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 834405264 is about 28886.0738765240. The cubic root of 834405264 is about 941.4393461503.

The spelling of 834405264 in words is "eight hundred thirty-four million, four hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 75253 150506 225759 301012 451518 526771 602024 677277 827783 903036 1053542 1204048 1354554 1580313 1655566 1806072 2107084 2483349 2709108 3160626 3311132 3612144 4214168 4740939 4966698 5418216 5794481 6321252 6622264 7450047 8428336 9481878 9933396 10836432 11588962 12642504 13244528 14900094 17383443 18963756 19866792 23177924 25285008 29800188 34766886 37927512 39733584 46355848 52150329 59600376 69533772 75855024 92711696 104300658 119200752 139067544 208601316 278135088 417202632 834405264