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1063334304 = 25342771481
BaseRepresentation
bin111111011000010…
…011000110100000
32202002211222110000
4333120103012200
54134203144204
6253302540000
735231123004
oct7730230640
92662758400
101063334304
114a625188a
12258137600
1313c3b39c6
14a1316704
1563542039
hex3f6131a0

1063334304 has 120 divisors (see below), whose sum is σ = 3140645508. Its totient is φ = 352926720.

The previous prime is 1063334281. The next prime is 1063334351. The reversal of 1063334304 is 4034333601.

It can be written as a sum of positive squares in 2 ways, for example, as 1015059600 + 48274704 = 31860^2 + 6948^2 .

It is a super-2 number, since 2×10633343042 = 2261359684126328832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 717244 + ... + 718724.

Almost surely, 21063334304 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 1063334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570322754).

1063334304 is an abundant number, since it is smaller than the sum of its proper divisors (2077311204).

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

1063334304 is a wasteful number, since it uses less digits than its factorization.

1063334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 1063334304 is about 32608.8071538963. The cubic root of 1063334304 is about 1020.6807911848.

Adding to 1063334304 its reverse (4034333601), we get a palindrome (5097667905).

The spelling of 1063334304 in words is "one billion, sixty-three million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 277 288 324 432 554 648 831 864 1108 1296 1481 1662 2216 2493 2592 2962 3324 4432 4443 4986 5924 6648 7479 8864 8886 9972 11848 13296 13329 14958 17772 19944 22437 23696 26592 26658 29916 35544 39888 39987 44874 47392 53316 59832 71088 79776 79974 89748 106632 119664 119961 142176 159948 179496 213264 239328 239922 319896 358992 410237 426528 479844 639792 717984 820474 959688 1230711 1279584 1640948 1919376 2461422 3281896 3692133 3838752 4922844 6563792 7384266 9845688 11076399 13127584 14768532 19691376 22152798 29537064 33229197 39382752 44305596 59074128 66458394 88611192 118148256 132916788 177222384 265833576 354444768 531667152 1063334304