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434374272 = 2733125687
BaseRepresentation
bin11001111001000…
…000011010000000
31010021100111111000
4121321000122000
51342144434042
6111034052000
713523056203
oct3171003200
91107314430
10434374272
11203213902
1210157a000
136bcb85c7
144199193a
152820374c
hex19e40680

434374272 has 64 divisors (see below), whose sum is σ = 1282017600. Its totient is φ = 144790272.

The previous prime is 434374249. The next prime is 434374289. The reversal of 434374272 is 272473434.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 59388 + ... + 66299.

It is an arithmetic number, because the mean of its divisors is an integer number (20031525).

Almost surely, 2434374272 is an apocalyptic number.

It is an amenable number.

434374272 is an abundant number, since it is smaller than the sum of its proper divisors (847643328).

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

434374272 is a wasteful number, since it uses less digits than its factorization.

434374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125710 (or 125692 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 434374272 is about 20841.6475356436. The cubic root of 434374272 is about 757.3350057271.

The spelling of 434374272 in words is "four hundred thirty-four million, three hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 125687 251374 377061 502748 754122 1005496 1131183 1508244 2010992 2262366 3016488 3393549 4021984 4524732 6032976 6787098 8043968 9049464 12065952 13574196 16087936 18098928 24131904 27148392 36197856 48263808 54296784 72395712 108593568 144791424 217187136 434374272