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3640164 = 22311223109
BaseRepresentation
bin1101111000101101100100
320211221100220
431320231210
51412441124
6210004340
742640503
oct15705544
96757326
103640164
112066a00
1212766b0
139a5b58
146aa83a
154bd879
hex378b64

3640164 has 72 divisors (see below), whose sum is σ = 9831360. Its totient is φ = 1045440.

The previous prime is 3640163. The next prime is 3640181. The reversal of 3640164 is 4610463.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3640163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33342 + ... + 33450.

Almost surely, 23640164 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 3640164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915680).

3640164 is an abundant number, since it is smaller than the sum of its proper divisors (6191196).

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

3640164 is a wasteful number, since it uses less digits than its factorization.

3640164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3640164 is about 1907.9213820281. The cubic root of 3640164 is about 153.8297438138.

Subtracting 3640164 from its reverse (4610463), we obtain a cube (970299 = 993).

The spelling of 3640164 in words is "three million, six hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 109 121 132 138 218 242 253 276 327 363 436 484 506 654 726 759 1012 1199 1308 1452 1518 2398 2507 2783 3036 3597 4796 5014 5566 7194 7521 8349 10028 11132 13189 14388 15042 16698 26378 27577 30084 33396 39567 52756 55154 79134 82731 110308 158268 165462 303347 330924 606694 910041 1213388 1820082 3640164