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3057144 = 2331759127
BaseRepresentation
bin1011101010010111111000
312202022121120
423222113320
51240312034
6145305240
734661646
oct13522770
95668546
103057144
1117a8972
121035220
1383067c
14598196
15405c49
hex2ea5f8

3057144 has 64 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 935424.

The previous prime is 3057113. The next prime is 3057163. The reversal of 3057144 is 4417503.

3057144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30571442 = 18692258873472, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24009 + ... + 24135.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 23057144 is an apocalyptic number.

3057144 is a gapful number since it is divisible by the number (34) 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 3057144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

3057144 is an abundant number, since it is smaller than the sum of its proper divisors (5237256).

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

3057144 is a wasteful number, since it uses less digits than its factorization.

3057144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3057144 is about 1748.4690446216. The cubic root of 3057144 is about 145.1349358257.

The spelling of 3057144 in words is "three million, fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 127 136 177 204 236 254 354 381 408 472 508 708 762 1003 1016 1416 1524 2006 2159 3009 3048 4012 4318 6018 6477 7493 8024 8636 12036 12954 14986 17272 22479 24072 25908 29972 44958 51816 59944 89916 127381 179832 254762 382143 509524 764286 1019048 1528572 3057144