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3444636 = 2231371311
BaseRepresentation
bin1101001000111110011100
320111000011010
431020332130
51340212021
6201455220
741164446
oct15107634
96430133
103444636
111a43008
1211a1510
13937b60
14659496
15480976
hex348f9c

3444636 has 48 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 1041600.

The previous prime is 3444631. The next prime is 3444647. The reversal of 3444636 is 6364443.

3444636 = 1282 + 1292 + ... + 2312.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 311 + 42 + 43 + 410 + 65 + 312 + 68 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444631) 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, 10921 + ... + 11231.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 23444636 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 3444636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

3444636 is an abundant number, since it is smaller than the sum of its proper divisors (5361252).

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

3444636 is a wasteful number, since it uses less digits than its factorization.

3444636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 3444636 is about 1855.9730601493. The cubic root of 3444636 is about 151.0246294050.

The spelling of 3444636 in words is "three million, four hundred forty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 311 426 622 852 923 933 1244 1846 1866 2769 3692 3732 4043 5538 8086 11076 12129 16172 22081 24258 44162 48516 66243 88324 132486 264972 287053 574106 861159 1148212 1722318 3444636