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3012957 = 364133
BaseRepresentation
bin1011011111100101011101
312200002000000
423133211131
51232403312
6144324513
734416063
oct13374535
95602000
103012957
111778752
121013739
1381651c
14586033
153e7adc
hex2df95d

3012957 has 14 divisors (see below), whose sum is σ = 4518462. Its totient is φ = 2008152.

The previous prime is 3012949. The next prime is 3012979. The reversal of 3012957 is 7592103.

It can be written as a sum of positive squares in only one way, i.e., 2802276 + 210681 = 1674^2 + 459^2 .

It is not a de Polignac number, because 3012957 - 23 = 3012949 is a prime.

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

3012957 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3012957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012907) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1338 + ... + 2795.

Almost surely, 23012957 is an apocalyptic number.

It is an amenable number.

3012957 is a deficient number, since it is larger than the sum of its proper divisors (1505505).

3012957 is an frugal number, since it uses more digits than its factorization.

3012957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3012957 is about 1735.7871413281. The cubic root of 3012957 is about 144.4322946826.

It can be divided in two parts, 3012 and 957, that added together give a square (3969 = 632).

The spelling of 3012957 in words is "three million, twelve thousand, nine hundred fifty-seven".

Divisors: 1 3 9 27 81 243 729 4133 12399 37197 111591 334773 1004319 3012957