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3640472 = 2311411009
BaseRepresentation
bin1101111000110010011000
320211221210022
431320302120
51412443342
6210010012
742641423
oct15706230
96757708
103640472
112067160
121276908
139a6034
146aa9ba
154bd9d2
hex378c98

3640472 has 32 divisors (see below), whose sum is σ = 7635600. Its totient is φ = 1612800.

The previous prime is 3640471. The next prime is 3640487. The reversal of 3640472 is 2740463.

It is a happy number.

3640472 is nontrivially palindromic in base 6.

3640472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3104 + ... + 4112.

Almost surely, 23640472 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 3640472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817800).

3640472 is an abundant number, since it is smaller than the sum of its proper divisors (3995128).

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

3640472 is a wasteful number, since it uses less digits than its factorization.

3640472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 3640472 is about 1908.0020964349. The cubic root of 3640472 is about 153.8340822836.

Subtracting from 3640472 its reverse (2740463), we obtain a palindrome (900009).

The spelling of 3640472 in words is "three million, six hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1009 1804 2018 3608 4036 8072 11099 22198 41369 44396 82738 88792 165476 330952 455059 910118 1820236 3640472