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1063394304 = 2103749451
BaseRepresentation
bin111111011000100…
…001110000000000
32202002222000202020
4333120201300000
54134212104204
6253304121440
735231462640
oct7730416000
92662860666
101063394304
114a6292975
12258166280
1313c4050cb
14a1330520
1563554bd9
hex3f621c00

1063394304 has 88 divisors (see below), whose sum is σ = 3239303808. Its totient is φ = 303820800.

The previous prime is 1063394287. The next prime is 1063394309. The reversal of 1063394304 is 4034933601.

It is a super-3 number, since 3×10633943043 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063394309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3222 + ... + 46229.

Almost surely, 21063394304 is an apocalyptic number.

1063394304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619651904).

1063394304 is an abundant number, since it is smaller than the sum of its proper divisors (2175909504).

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

1063394304 is an equidigital number, since it uses as much as digits as its factorization.

1063394304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49481 (or 49463 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 1063394304 is about 32609.7271377729. The cubic root of 1063394304 is about 1020.6999885640.

The spelling of 1063394304 in words is "one billion, sixty-three million, three hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 49451 98902 148353 197804 296706 346157 395608 593412 692314 791216 1038471 1186824 1384628 1582432 2076942 2373648 2769256 3164864 4153884 4747296 5538512 6329728 8307768 9494592 11077024 12659456 16615536 18989184 22154048 25318912 33231072 37978368 44308096 50637824 66462144 75956736 88616192 132924288 151913472 177232384 265848576 354464768 531697152 1063394304