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914745344 = 2113171409
BaseRepresentation
bin110110100001011…
…110100000000000
32100202020212201012
4312201132200000
53333133322334
6230434100052
731445131022
oct6641364000
92322225635
10914745344
1142a393797
1221641a628
1311768a146
14896b8012
15554909ce
hex3685e800

914745344 has 48 divisors (see below), whose sum is σ = 1836116100. Its totient is φ = 455606272.

The previous prime is 914745323. The next prime is 914745353. The reversal of 914745344 is 443547419.

It can be written as a sum of positive squares in 2 ways, for example, as 615040000 + 299705344 = 24800^2 + 17312^2 .

Its product of digits (241920) is a multiple of the sum of its prime divisors (1728).

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 3 ways as a sum of consecutive naturals, for example, 648512 + ... + 649920.

Almost surely, 2914745344 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 914745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918058050).

914745344 is an abundant number, since it is smaller than the sum of its proper divisors (921370756).

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

914745344 is a wasteful number, since it uses less digits than its factorization.

914745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1728 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 914745344 is about 30244.7572977533. The cubic root of 914745344 is about 970.7336158521.

The spelling of 914745344 in words is "nine hundred fourteen million, seven hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 317 512 634 1024 1268 1409 2048 2536 2818 5072 5636 10144 11272 20288 22544 40576 45088 81152 90176 162304 180352 324608 360704 446653 649216 721408 893306 1442816 1786612 2885632 3573224 7146448 14292896 28585792 57171584 114343168 228686336 457372672 914745344