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3642461604 = 2232101179489
BaseRepresentation
bin1101100100011011…
…1000110110100100
3100101211221012222100
43121012320312210
524424432232404
61401234332100
7156156261405
oct33106706644
910354835870
103642461604
1115aa090351
12857a2a030
13460829232
14267a839ac
15164b9cd39
hexd91b8da4

3642461604 has 18 divisors (see below), whose sum is σ = 9207333590. Its totient is φ = 1214153856.

The previous prime is 3642461533. The next prime is 3642461639. The reversal of 3642461604 is 4061642463.

3642461604 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 46 + 1 + 604 = 666.

3642461604 is digitally balanced in base 2, 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 only one way, i.e., 3623799204 + 18662400 = 60198^2 + 4320^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×36424616042 = 26535053073228505632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 101179489 = 3642461604 / (3 + 6 + 4 + 2 + 4 + 6 + 1 + 6 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50589709 + ... + 50589780.

Almost surely, 23642461604 is an apocalyptic number.

It is an amenable number.

3642461604 is an abundant number, since it is smaller than the sum of its proper divisors (5564871986).

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

3642461604 is a wasteful number, since it uses less digits than its factorization.

3642461604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101179499 (or 101179494 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3642461604 is about 60352.8094126529. The cubic root of 3642461604 is about 1538.6210183385.

The spelling of 3642461604 in words is "three billion, six hundred forty-two million, four hundred sixty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 101179489 202358978 303538467 404717956 607076934 910615401 1214153868 1821230802 3642461604