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3385680 = 243514107
BaseRepresentation
bin1100111010100101010000
320101000021120
430322211100
51331320210
6200322240
740530534
oct14724520
96330246
103385680
111a02791
121173380
1391707c
14641bc4
1546d270
hex33a950

3385680 has 40 divisors (see below), whose sum is σ = 10496352. Its totient is φ = 902784.

The previous prime is 3385661. The next prime is 3385699. The reversal of 3385680 is 865833.

It is an interprime number because it is at equal distance from previous prime (3385661) and next prime (3385699).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33856802 = 22925658124800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6814 + ... + 7293.

Almost surely, 23385680 is an apocalyptic number.

3385680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3385680 is an abundant number, since it is smaller than the sum of its proper divisors (7110672).

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

3385680 is a wasteful number, since it uses less digits than its factorization.

3385680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14123 (or 14117 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3385680 is about 1840.0217390020. The cubic root of 3385680 is about 150.1580556199.

The spelling of 3385680 in words is "three million, three hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14107 28214 42321 56428 70535 84642 112856 141070 169284 211605 225712 282140 338568 423210 564280 677136 846420 1128560 1692840 3385680