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3643070144 = 2678131853
BaseRepresentation
bin1101100100100100…
…1101011011000000
3100101220002010201212
43121021031123000
524430111221034
61401255345252
7156164404520
oct33111153300
910356063655
103643070144
1115aa46657a
12858082228
134609b020c
14267ba1680
15164c6d2ce
hexd924d6c0

3643070144 has 28 divisors (see below), whose sum is σ = 8261963664. Its totient is φ = 1561315584.

The previous prime is 3643070143. The next prime is 3643070201. The reversal of 3643070144 is 4410703463.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3643070144.

It is not an unprimeable number, because it can be changed into a prime (3643070143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4065479 + ... + 4066374.

Almost surely, 23643070144 is an apocalyptic number.

It is an amenable number.

3643070144 is an abundant number, since it is smaller than the sum of its proper divisors (4618893520).

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

3643070144 is an equidigital number, since it uses as much as digits as its factorization.

3643070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131872 (or 8131862 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3643070144 is about 60357.8507238288. The cubic root of 3643070144 is about 1538.7066985184.

The spelling of 3643070144 in words is "three billion, six hundred forty-three million, seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 8131853 16263706 32527412 56922971 65054824 113845942 130109648 227691884 260219296 455383768 520438592 910767536 1821535072 3643070144