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3056144 = 247132099
BaseRepresentation
bin1011101010001000010000
312202021020112
423222020100
51240244034
6145300452
734656020
oct13521020
95667215
103056144
1117a8143
121034728
13830090
14597a80
154057ce
hex2ea210

3056144 has 40 divisors (see below), whose sum is σ = 7291200. Its totient is φ = 1208448.

The previous prime is 3056129. The next prime is 3056149. The reversal of 3056144 is 4416503.

It is a happy number.

It is a super-3 number, since 3×30561443 = 85633302938587901952, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3056149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407 + ... + 2505.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 23056144 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 3056144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645600).

3056144 is an abundant number, since it is smaller than the sum of its proper divisors (4235056).

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

3056144 is a wasteful number, since it uses less digits than its factorization.

3056144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3056144 is about 1748.1830567764. The cubic root of 3056144 is about 145.1191094244.

The spelling of 3056144 in words is "three million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2099 4198 8396 14693 16792 27287 29386 33584 54574 58772 109148 117544 191009 218296 235088 382018 436592 764036 1528072 3056144