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3053844 = 2232412069
BaseRepresentation
bin1011101001100100010100
312202011002100
423221210110
51240210334
6145242100
734646223
oct13514424
95664070
103053844
1117a6442
121033330
1382c011
14596cba
15404c99
hex2e9914

3053844 has 36 divisors (see below), whose sum is σ = 7911540. Its totient is φ = 992640.

The previous prime is 3053833. The next prime is 3053849. The reversal of 3053844 is 4483503.

It is a happy number.

3053844 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 2762244 = 540^2 + 1662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3053849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442 + ... + 2510.

It is an arithmetic number, because the mean of its divisors is an integer number (219765).

Almost surely, 23053844 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 3053844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955770).

3053844 is an abundant number, since it is smaller than the sum of its proper divisors (4857696).

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

3053844 is a wasteful number, since it uses less digits than its factorization.

3053844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3053844 is about 1747.5251071158. The cubic root of 3053844 is about 145.0826955951.

The spelling of 3053844 in words is "three million, fifty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2069 4138 6207 8276 12414 18621 24828 37242 74484 84829 169658 254487 339316 508974 763461 1017948 1526922 3053844