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3389949696 = 28373120341
BaseRepresentation
bin1100101000001110…
…1000011100000000
322202020210021202110
43022003220130000
523420311342241
61320214215320
7150002045160
oct31203503400
98666707673
103389949696
11148a5a1421
127a7354540
134204173c3
142423125a0
1514c91e816
hexca0e8700

3389949696 has 144 divisors (see below), whose sum is σ = 10644236288. Its totient is φ = 937267200.

The previous prime is 3389949679. The next prime is 3389949757. The reversal of 3389949696 is 6969499833.

It is a super-2 number, since 2×33899496962 = 22983517882820984832, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 156486 + ... + 176826.

Almost surely, 23389949696 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 3389949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322118144).

3389949696 is an abundant number, since it is smaller than the sum of its proper divisors (7254286592).

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

3389949696 is a wasteful number, since it uses less digits than its factorization.

3389949696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20398 (or 20384 counting only the distinct ones).

The product of its digits is 68024448, while the sum is 66.

The square root of 3389949696 is about 58223.2745214489. The cubic root of 3389949696 is about 1502.2115076646.

The spelling of 3389949696 in words is "three billion, three hundred eighty-nine million, nine hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20341 20832 23808 27776 40682 41664 55552 61023 81364 83328 122046 142387 162728 166656 244092 284774 325456 427161 488184 569548 630571 650912 854322 976368 1139096 1261142 1301824 1708644 1891713 1952736 2278192 2522284 2603648 3417288 3783426 3905472 4413997 4556384 5044568 5207296 6834576 7566852 7810944 8827994 9112768 10089136 13241991 13669152 15133704 15621888 17655988 18225536 20178272 26483982 27338304 30267408 35311976 36451072 40356544 52967964 54676608 60534816 70623952 80713088 105935928 109353216 121069632 141247904 161426176 211871856 242139264 282495808 423743712 484278528 564991616 847487424 1129983232 1694974848 3389949696