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264204 = 223241179
BaseRepresentation
bin1000000100000001100
3111102102100
41000200030
531423304
65355100
72150163
oct1004014
9442370
10264204
11170556
12108a90
1393345
146c3da
1553439
hex4080c

264204 has 36 divisors (see below), whose sum is σ = 687960. Its totient is φ = 85440.

The previous prime is 264179. The next prime is 264211. The reversal of 264204 is 402462.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2 + 6 + 211 + 4 + 0 + 49 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1387 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2264204 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 264204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

264204 is an abundant number, since it is smaller than the sum of its proper divisors (423756).

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

264204 is a wasteful number, since it uses less digits than its factorization.

264204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 264204 is about 514.0077820423. The cubic root of 264204 is about 64.1672060073.

Adding to 264204 its reverse (402462), we get a palindrome (666666).

The spelling of 264204 in words is "two hundred sixty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 179 246 358 369 492 537 716 738 1074 1476 1611 2148 3222 6444 7339 14678 22017 29356 44034 66051 88068 132102 264204