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3365128 = 2313219131
BaseRepresentation
bin1100110101100100001000
320022222002101
430311210020
51330141003
6200043144
740413604
oct14654410
96288071
103365128
1119992a8
1211634b4
1390a900
14638504
1546711d
hex335908

3365128 has 48 divisors (see below), whose sum is σ = 7246800. Its totient is φ = 1460160.

The previous prime is 3365111. The next prime is 3365161. The reversal of 3365128 is 8215633.

It is a super-2 number, since 2×33651282 = 22648172912768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3365096 and 3365105.

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, 25623 + ... + 25753.

It is an arithmetic number, because the mean of its divisors is an integer number (150975).

Almost surely, 23365128 is an apocalyptic number.

3365128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3365128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623400).

3365128 is an abundant number, since it is smaller than the sum of its proper divisors (3881672).

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

3365128 is a wasteful number, since it uses less digits than its factorization.

3365128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 3365128 is about 1834.4285213657. The cubic root of 3365128 is about 149.8536053186.

The spelling of 3365128 in words is "three million, three hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 131 152 169 247 262 338 494 524 676 988 1048 1352 1703 1976 2489 3211 3406 4978 6422 6812 9956 12844 13624 19912 22139 25688 32357 44278 64714 88556 129428 177112 258856 420641 841282 1682564 3365128