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3564444 = 2231373313
BaseRepresentation
bin1101100110001110011100
320201002111110
431212032130
51403030234
6204222020
742203652
oct15461634
96632443
103564444
112015024
12123a910
1397a550
1468add2
154a61e9
hex36639c

3564444 has 48 divisors (see below), whose sum is σ = 9108512. Its totient is φ = 1078272.

The previous prime is 3564443. The next prime is 3564461. The reversal of 3564444 is 4444653.

It is a super-2 number, since 2×35644442 = 25410522058272, which contains 22 as substring.

It is a d-powerful number, because it can be written as 313 + 59 + 62 + 43 + 44 + 44 + 47 .

3564444 is a modest number, since divided by 4444 gives 356 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11232 + ... + 11544.

Almost surely, 23564444 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 3564444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554256).

3564444 is an abundant number, since it is smaller than the sum of its proper divisors (5544068).

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

3564444 is a wasteful number, since it uses less digits than its factorization.

3564444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 3564444 is about 1887.9735167634. The cubic root of 3564444 is about 152.7556439511.

The spelling of 3564444 in words is "three million, five hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 313 438 626 876 939 949 1252 1878 1898 2847 3756 3796 4069 5694 8138 11388 12207 16276 22849 24414 45698 48828 68547 91396 137094 274188 297037 594074 891111 1188148 1782222 3564444