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5345664 = 27313921
BaseRepresentation
bin10100011001000110000000
3101001120212120
4110121012000
52332030124
6310324240
763303012
oct24310600
911046776
105345664
113021305
121959680
13115221c
149d21b2
15708d79
hex519180

5345664 has 32 divisors (see below), whose sum is σ = 14200440. Its totient is φ = 1781760.

The previous prime is 5345663. The next prime is 5345677. The reversal of 5345664 is 4665435.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×53456642 = 57152247201792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6577 + ... + 7344.

Almost surely, 25345664 is an apocalyptic number.

It is an amenable number.

5345664 is an abundant number, since it is smaller than the sum of its proper divisors (8854776).

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

5345664 is a wasteful number, since it uses less digits than its factorization.

5345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938 (or 13926 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 5345664 is about 2312.0692031166. The cubic root of 5345664 is about 174.8506371807.

The spelling of 5345664 in words is "five million, three hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 13921 27842 41763 55684 83526 111368 167052 222736 334104 445472 668208 890944 1336416 1781888 2672832 5345664