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3305125440 = 263251147613
BaseRepresentation
bin1100010100000000…
…0011011001000000
322112100011202202100
43011000003121000
523232103003230
61303544150400
7144622050141
oct30500033100
98470152670
103305125440
111446725731
12782a68400
13408988236
14234d51ac8
15145266660
hexc5003640

3305125440 has 84 divisors (see below), whose sum is σ = 11368264284. Its totient is φ = 881366016.

The previous prime is 3305125433. The next prime is 3305125457. The reversal of 3305125440 is 445215033.

It can be written as a sum of positive squares in 2 ways, for example, as 331822656 + 2973302784 = 18216^2 + 54528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570927 + ... + 576686.

Almost surely, 23305125440 is an apocalyptic number.

3305125440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3305125440 is an abundant number, since it is smaller than the sum of its proper divisors (8063138844).

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

3305125440 is a wasteful number, since it uses less digits than its factorization.

3305125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147636 (or 1147623 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3305125440 is about 57490.2203857317. The cubic root of 3305125440 is about 1489.5759404609.

The spelling of 3305125440 in words is "three billion, three hundred five million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1147613 2295226 3442839 4590452 5738065 6885678 9180904 10328517 11476130 13771356 17214195 18361808 20657034 22952260 27542712 34428390 36723616 41314068 45904520 51642585 55085424 68856780 73447232 82628136 91809040 103285170 110170848 137713560 165256272 183618080 206570340 220341696 275427120 330512544 367236160 413140680 550854240 661025088 826281360 1101708480 1652562720 3305125440