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3393739296 = 25341309313
BaseRepresentation
bin1100101001001000…
…0101101000100000
322202111220211010000
43022102011220200
523422244124141
61320431340000
7150046210443
oct31222055040
98674824100
103393739296
11149174a622
127a8681600
1342114327c
14242a1b65a
1514ce1c5b6
hexca485a20

3393739296 has 60 divisors (see below), whose sum is σ = 9980900622. Its totient is φ = 1131245568.

The previous prime is 3393739253. The next prime is 3393739319. The reversal of 3393739296 is 6929373933.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2186871696 + 1206867600 = 46764^2 + 34740^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 9 ways as a sum of consecutive naturals, for example, 652065 + ... + 657248.

Almost surely, 23393739296 is an apocalyptic number.

3393739296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3393739296 is an abundant number, since it is smaller than the sum of its proper divisors (6587161326).

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

3393739296 is a wasteful number, since it uses less digits than its factorization.

3393739296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309335 (or 1309318 counting only the distinct ones).

The product of its digits is 4960116, while the sum is 54.

The square root of 3393739296 is about 58255.8091180614. The cubic root of 3393739296 is about 1502.7710696297.

The spelling of 3393739296 in words is "three billion, three hundred ninety-three million, seven hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1309313 2618626 3927939 5237252 7855878 10474504 11783817 15711756 20949008 23567634 31423512 35351451 41898016 47135268 62847024 70702902 94270536 106054353 125694048 141405804 188541072 212108706 282811608 377082144 424217412 565623216 848434824 1131246432 1696869648 3393739296