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307368230464 = 2637218732
BaseRepresentation
bin1000111100100001001…
…00101111111001000000
31002101101000112220202201
410132100210233321000
520013442231333324
6353111503522544
731130604564661
oct4362044577100
91071330486681
10307368230464
11109399397969
124b6a0bb9454
1322ca55018a9
1410c3b953368
157ede4b3444
hex479092fe40

307368230464 has 63 divisors (see below), whose sum is σ = 627198926067. Its totient is φ = 149450655744.

The previous prime is 307368230437. The next prime is 307368230489. The reversal of 307368230464 is 464032863703.

The square root of 307368230464 is 554408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8465472064 + 298902758400 = 92008^2 + 546720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164103832 + ... + 164105704.

It is an arithmetic number, because the mean of its divisors is an integer number (9955538509).

Almost surely, 2307368230464 is an apocalyptic number.

307368230464 is the 554408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307368230464

307368230464 is an abundant number, since it is smaller than the sum of its proper divisors (319830695603).

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

307368230464 is an frugal number, since it uses more digits than its factorization.

307368230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 307368230464 in words is "three hundred seven billion, three hundred sixty-eight million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1369 1873 2368 2738 3746 5476 7492 10952 14984 21904 29968 43808 59936 69301 87616 119872 138602 277204 554408 1108816 2217632 2564137 3508129 4435264 5128274 7016258 10256548 14032516 20513096 28065032 41026192 56130064 82052384 112260128 129800773 164104768 224520256 259601546 519203092 1038406184 2076812368 4153624736 4802628601 8307249472 9605257202 19210514404 38421028808 76842057616 153684115232 307368230464