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4434306656 = 251317797937
BaseRepresentation
bin1000010000100111…
…00010011001100000
3102110000221010011212
410020103202121200
533040140303111
62012002325252
7214612661513
oct41023423140
912400833155
104434306656
11197606124a
12a39059828
135588b52c0
14300cc8d7a
151ae46398b
hex1084e2660

4434306656 has 96 divisors (see below), whose sum is σ = 10081895040. Its totient is φ = 1901592576.

The previous prime is 4434306649. The next prime is 4434306703. The reversal of 4434306656 is 6566034344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554720 + ... + 562656.

It is an arithmetic number, because the mean of its divisors is an integer number (105019740).

Almost surely, 24434306656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040947520).

4434306656 is an abundant number, since it is smaller than the sum of its proper divisors (5647588384).

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

4434306656 is a wasteful number, since it uses less digits than its factorization.

4434306656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The square root of 4434306656 is about 66590.5898457132. The cubic root of 4434306656 is about 1642.8903343759.

The spelling of 4434306656 in words is "four billion, four hundred thirty-four million, three hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 79 104 136 158 208 221 272 316 416 442 544 632 884 1027 1264 1343 1768 2054 2528 2686 3536 4108 5372 7072 7937 8216 10744 15874 16432 17459 21488 31748 32864 34918 42976 63496 69836 103181 126992 134929 139672 206362 253984 269858 279344 412724 539716 558688 627023 825448 1079432 1254046 1650896 1754077 2158864 2508092 3301792 3508154 4317728 5016184 7016308 8151299 10032368 10659391 14032616 16302598 20064736 21318782 28065232 32605196 42637564 56130464 65210392 85275128 130420784 138572083 170550256 260841568 277144166 341100512 554288332 1108576664 2217153328 4434306656