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4434234336 = 253272199521
BaseRepresentation
bin1000010000100110…
…10000101111100000
3102110000210102222100
410020103100233200
533040130444321
62012001010400
7214612240620
oct41023205740
912400712870
104434234336
111976011984
12a39023a00
1355888b3cc
14300caa880
151ae44c326
hex1084d0be0

4434234336 has 72 divisors (see below), whose sum is σ = 14411268144. Its totient is φ = 1266923520.

The previous prime is 4434234323. The next prime is 4434234359. The reversal of 4434234336 is 6334324344.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×44342343362 = 39324868293122721792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4434234336.

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, 1097745 + ... + 1101776.

It is an arithmetic number, because the mean of its divisors is an integer number (200156502).

Almost surely, 24434234336 is an apocalyptic number.

It is an amenable number.

4434234336 is an abundant number, since it is smaller than the sum of its proper divisors (9977033808).

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

4434234336 is a wasteful number, since it uses less digits than its factorization.

4434234336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199544 (or 2199533 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

The square root of 4434234336 is about 66590.0468238310. The cubic root of 4434234336 is about 1642.8814029177.

The spelling of 4434234336 in words is "four billion, four hundred thirty-four million, two hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2199521 4399042 6598563 8798084 13197126 15396647 17596168 19795689 26394252 30793294 35192336 39591378 46189941 52788504 61586588 70384672 79182756 92379882 105577008 123173176 138569823 158365512 184759764 211154016 246346352 277139646 316731024 369519528 492692704 554279292 633462048 739039056 1108558584 1478078112 2217117168 4434234336