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434086272 = 2732376811
BaseRepresentation
bin11001110111111…
…010000110000000
31010020210212102100
4121313322012000
51342111230042
6111023550400
713520446434
oct3167720600
91106725370
10434086272
11203037494
1210145b400
136bc174a9
14419189c4
152819824c
hex19dfa180

434086272 has 48 divisors (see below), whose sum is σ = 1249131780. Its totient is φ = 144695040.

The previous prime is 434086249. The next prime is 434086283. The reversal of 434086272 is 272680434.

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 187254 + ... + 189557.

Almost surely, 2434086272 is an apocalyptic number.

It is an amenable number.

434086272 is an abundant number, since it is smaller than the sum of its proper divisors (815045508).

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

434086272 is a wasteful number, since it uses less digits than its factorization.

434086272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376831 (or 376816 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 434086272 is about 20834.7371473700. The cubic root of 434086272 is about 757.1675919567.

The spelling of 434086272 in words is "four hundred thirty-four million, eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 376811 753622 1130433 1507244 2260866 3014488 3391299 4521732 6028976 6782598 9043464 12057952 13565196 18086928 24115904 27130392 36173856 48231808 54260784 72347712 108521568 144695424 217043136 434086272