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3065904 = 243347151
BaseRepresentation
bin1011101100100000110000
312202202122000
423230200300
51241102104
6145414000
735026332
oct13544060
95682560
103065904
111804506
12103a300
1383465a
1459b452
15408639
hex2ec830

3065904 has 80 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 993600.

The previous prime is 3065893. The next prime is 3065917. The reversal of 3065904 is 4095603.

It is a happy number.

3065904 is a `hidden beast` number, since 3 + 0 + 659 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20229 + ... + 20379.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

Almost surely, 23065904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3065904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523520).

3065904 is an abundant number, since it is smaller than the sum of its proper divisors (5981136).

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

3065904 is a wasteful number, since it uses less digits than its factorization.

3065904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3065904 is about 1750.9723013229. The cubic root of 3065904 is about 145.2734277885.

It can be divided in two parts, 3065 and 904, that added together give a square (3969 = 632).

The spelling of 3065904 in words is "three million, sixty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 151 188 216 282 302 376 423 432 453 564 604 752 846 906 1128 1208 1269 1359 1692 1812 2256 2416 2538 2718 3384 3624 4077 5076 5436 6768 7097 7248 8154 10152 10872 14194 16308 20304 21291 21744 28388 32616 42582 56776 63873 65232 85164 113552 127746 170328 191619 255492 340656 383238 510984 766476 1021968 1532952 3065904