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1046134336 = 261323112
BaseRepresentation
bin111110010110101…
…011111001000000
32200220111010112011
4332112223321000
54120302244321
6251450142304
734631665222
oct7626537100
92626433464
101046134336
11497574235
12252421994
13138970c00
149cd1a412
1561c95ae1
hex3e5abe40

1046134336 has 63 divisors (see below), whose sum is σ = 2255143953. Its totient is φ = 481278720.

The previous prime is 1046134307. The next prime is 1046134343. The reversal of 1046134336 is 6334316401.

It is a happy number.

The square root of 1046134336 is 32344.

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., 154753600 + 891380736 = 12440^2 + 29856^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1046134298 and 1046134307.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3363621 + ... + 3363931.

Almost surely, 21046134336 is an apocalyptic number.

1046134336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1046134336 is the 32344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046134336

1046134336 is an abundant number, since it is smaller than the sum of its proper divisors (1209009617).

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

1046134336 is an frugal number, since it uses more digits than its factorization.

1046134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The cubic root of 1046134336 is about 1015.1475065295.

The spelling of 1046134336 in words is "one billion, forty-six million, one hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 311 338 416 622 676 832 1244 1352 2488 2704 4043 4976 5408 8086 9952 10816 16172 19904 32344 52559 64688 96721 105118 129376 193442 210236 258752 386884 420472 773768 840944 1257373 1547536 1681888 2514746 3095072 3363776 5029492 6190144 10058984 16345849 20117968 32691698 40235936 65383396 80471872 130766792 261533584 523067168 1046134336