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3327072 = 25374951
BaseRepresentation
bin1100101100010001100000
320021000212220
430230101200
51322431242
6155151040
740164630
oct14542140
96230786
103327072
111972751
121145480
138c64a8
146286c0
1545abec
hex32c460

3327072 has 48 divisors (see below), whose sum is σ = 9983232. Its totient is φ = 950400.

The previous prime is 3327061. The next prime is 3327089. The reversal of 3327072 is 2707233.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33270722 = 22138816186368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1804 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (207984).

Almost surely, 23327072 is an apocalyptic number.

3327072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3327072 is an abundant number, since it is smaller than the sum of its proper divisors (6656160).

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

3327072 is a wasteful number, since it uses less digits than its factorization.

3327072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 3327072 is about 1824.0263155996. The cubic root of 3327072 is about 149.2865676975.

The spelling of 3327072 in words is "three million, three hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4951 9902 14853 19804 29706 34657 39608 59412 69314 79216 103971 118824 138628 158432 207942 237648 277256 415884 475296 554512 831768 1109024 1663536 3327072