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3940164 = 223412161
BaseRepresentation
bin1111000001111101000100
321102011220000
433001331010
52002041124
6220241300
745330234
oct17017504
97364800
103940164
112251338
1213a0230
13a7c577
14747cc4
1552c6c9
hex3c1f44

3940164 has 30 divisors (see below), whose sum is σ = 10301214. Its totient is φ = 1313280.

The previous prime is 3940159. The next prime is 3940171. The reversal of 3940164 is 4610493.

3940164 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., 2924100 + 1016064 = 1710^2 + 1008^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 5757 + ... + 6404.

Almost surely, 23940164 is an apocalyptic number.

It is an amenable number.

3940164 is an abundant number, since it is smaller than the sum of its proper divisors (6361050).

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

3940164 is a wasteful number, since it uses less digits than its factorization.

3940164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12177 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3940164 is about 1984.9846347012. The cubic root of 3940164 is about 157.9445941500.

The spelling of 3940164 in words is "three million, nine hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 12161 24322 36483 48644 72966 109449 145932 218898 328347 437796 656694 985041 1313388 1970082 3940164