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3057012 = 2232721733
BaseRepresentation
bin1011101010010101110100
312202022102200
423222111310
51240311022
6145304500
734661400
oct13522564
95668380
103057012
1117a8862
121035130
138305aa
14598100
15405bac
hex2ea574

3057012 has 54 divisors (see below), whose sum is σ = 8994258. Its totient is φ = 872928.

The previous prime is 3057011. The next prime is 3057013. The reversal of 3057012 is 2107503.

It is an interprime number because it is at equal distance from previous prime (3057011) and next prime (3057013).

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 509796 = 1596^2 + 714^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3057011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 898 + ... + 2630.

Almost surely, 23057012 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 3057012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497129).

3057012 is an abundant number, since it is smaller than the sum of its proper divisors (5937246).

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

3057012 is a wasteful number, since it uses less digits than its factorization.

3057012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 3057012 is about 1748.4312969059. The cubic root of 3057012 is about 145.1328469384.

The spelling of 3057012 in words is "three million, fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1733 1764 3466 5199 6932 10398 12131 15597 20796 24262 31194 36393 48524 62388 72786 84917 109179 145572 169834 218358 254751 339668 436716 509502 764253 1019004 1528506 3057012