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3057984 = 26325309
BaseRepresentation
bin1011101010100101000000
312202100202200
423222211000
51240323414
6145313200
734664256
oct13524500
95670680
103057984
1117a9566
121035800
13830b77
145985d6
15406109
hex2ea940

3057984 has 42 divisors (see below), whose sum is σ = 8766810. Its totient is φ = 1019136.

The previous prime is 3057983. The next prime is 3057997. The reversal of 3057984 is 4897503.

3057984 is a `hidden beast` number, since 3 + 0 + 579 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1617984 + 1440000 = 1272^2 + 1200^2 .

It is a super-2 number, since 2×30579842 = 18702532288512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3057983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2079 + ... + 3230.

Almost surely, 23057984 is an apocalyptic number.

It is an amenable number.

3057984 is an abundant number, since it is smaller than the sum of its proper divisors (5708826).

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

3057984 is a wasteful number, since it uses less digits than its factorization.

3057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3057984 is about 1748.7092382669. The cubic root of 3057984 is about 145.1482273359.

The spelling of 3057984 in words is "three million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5309 10618 15927 21236 31854 42472 47781 63708 84944 95562 127416 169888 191124 254832 339776 382248 509664 764496 1019328 1528992 3057984