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3297138240 = 263511312229
BaseRepresentation
bin1100010010000110…
…0101011001000000
322111210010222101010
43010201211121000
523223031410430
61303101040520
7144464132634
oct30441453100
98453128333
103297138240
11144216a840
12780256140
1340711c896
14233c72dc4
151446d9cb0
hexc4865640

3297138240 has 112 divisors (see below), whose sum is σ = 11420124480. Its totient is φ = 799303680.

The previous prime is 3297138203. The next prime is 3297138421. The reversal of 3297138240 is 428317923.

It is a super-2 number, since 2×32971382402 = 21742241147340595200, which contains 22 as substring.

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, 145555 + ... + 166674.

Almost surely, 23297138240 is an apocalyptic number.

3297138240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3297138240 is an abundant number, since it is smaller than the sum of its proper divisors (8122986240).

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

3297138240 is a wasteful number, since it uses less digits than its factorization.

3297138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312260 (or 312250 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3297138240 is about 57420.7126392559. The cubic root of 3297138240 is about 1488.3750644314.

The spelling of 3297138240 in words is "three billion, two hundred ninety-seven million, one hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 312229 624458 936687 1248916 1561145 1873374 2497832 3122290 3434519 3746748 4683435 4995664 6244580 6869038 7493496 9366870 9991328 10303557 12489160 13738076 14986992 17172595 18733740 19982656 20607114 24978320 27476152 29973984 34345190 37467480 41214228 49956640 51517785 54952304 59947968 68690380 74934960 82428456 99913280 103035570 109904608 137380760 149869920 164856912 206071140 219809216 274761520 299739840 329713824 412142280 549523040 659427648 824284560 1099046080 1648569120 3297138240