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1152738304 = 21010612
BaseRepresentation
bin100010010110101…
…0110010000000000
32222100002011200021
41010231112100000
54330100111204
6310215103224
740365054034
oct10455262000
92870064607
101152738304
11541766393
12282071b14
13154a87593
14ad14a1c4
156b302154
hex44b56400

1152738304 has 33 divisors (see below), whose sum is σ = 2306524801. Its totient is φ = 575825920.

The previous prime is 1152738187. The next prime is 1152738319. The reversal of 1152738304 is 4038372511.

The square root of 1152738304 is 33952.

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

It can be written as a sum of positive squares in only one way, i.e., 759112704 + 393625600 = 27552^2 + 19840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1152738304.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1085934 + ... + 1086994.

Almost surely, 21152738304 is an apocalyptic number.

1152738304 is the 33952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152738304

1152738304 is an abundant number, since it is smaller than the sum of its proper divisors (1153786497).

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

1152738304 is an frugal number, since it uses more digits than its factorization.

1152738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The cubic root of 1152738304 is about 1048.5204570642.

The spelling of 1152738304 in words is "one billion, one hundred fifty-two million, seven hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1061 2122 4244 8488 16976 33952 67904 135808 271616 543232 1086464 1125721 2251442 4502884 9005768 18011536 36023072 72046144 144092288 288184576 576369152 1152738304