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264404 = 22721971
BaseRepresentation
bin1000000100011010100
3111102200202
41000203110
531430104
65400032
72150600
oct1004324
9442622
10264404
11170718
12109018
139346a
146c500
155351e
hex408d4

264404 has 36 divisors (see below), whose sum is σ = 574560. Its totient is φ = 105840.

The previous prime is 264403. The next prime is 264437. The reversal of 264404 is 404462.

264404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3689 + ... + 3759.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2264404 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 264404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

264404 is an abundant number, since it is smaller than the sum of its proper divisors (310156).

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

264404 is a wasteful number, since it uses less digits than its factorization.

264404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 264404 is about 514.2022948218. The cubic root of 264404 is about 64.1833932519.

Adding to 264404 its reverse (404462), we get a palindrome (668866).

The spelling of 264404 in words is "two hundred sixty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 38 49 71 76 98 133 142 196 266 284 497 532 931 994 1349 1862 1988 2698 3479 3724 5396 6958 9443 13916 18886 37772 66101 132202 264404