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4434300672 = 28317339637
BaseRepresentation
bin1000010000100111…
…00000111100000000
3102110000220210222020
410020103200330000
533040140110142
62012002241440
7214612635204
oct41023407400
912400823866
104434300672
1119760577aa
12a39056280
135588b2669
14300cc6b04
151ae461cec
hex1084e0f00

4434300672 has 72 divisors (see below), whose sum is σ = 12495961296. Its totient is φ = 1391149056.

The previous prime is 4434300671. The next prime is 4434300677. The reversal of 4434300672 is 2760034344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434300671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156763 + ... + 182874.

It is an arithmetic number, because the mean of its divisors is an integer number (173555018).

Almost surely, 24434300672 is an apocalyptic number.

It is an amenable number.

4434300672 is an abundant number, since it is smaller than the sum of its proper divisors (8061660624).

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

4434300672 is a wasteful number, since it uses less digits than its factorization.

4434300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339673 (or 339659 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 4434300672 is about 66590.5449144246. The cubic root of 4434300672 is about 1642.8895953607.

The spelling of 4434300672 in words is "four billion, four hundred thirty-four million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 339637 679274 1018911 1358548 2037822 2717096 4075644 5434192 5773829 8151288 10868384 11547658 16302576 17321487 21736768 23095316 32605152 34642974 43473536 46190632 65210304 69285948 86947072 92381264 130420608 138571896 184762528 260841216 277143792 369525056 554287584 739050112 1108575168 1478100224 2217150336 4434300672