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264438 = 2335983
BaseRepresentation
bin1000000100011110110
3111102202000
41000203312
531430223
65400130
72150646
oct1004366
9442660
10264438
11170749
12109046
1393495
146c526
1553543
hex408f6

264438 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 85608.

The previous prime is 264437. The next prime is 264443. The reversal of 264438 is 834462.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264438.

It is not an unprimeable number, because it can be changed into a prime (264437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3145 + ... + 3227.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2264438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

264438 is an abundant number, since it is smaller than the sum of its proper divisors (340362).

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

264438 is a wasteful number, since it uses less digits than its factorization.

264438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 264438 is about 514.2353546772. The cubic root of 264438 is about 64.1861442716.

The spelling of 264438 in words is "two hundred sixty-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 59 83 118 166 177 249 354 498 531 747 1062 1494 1593 2241 3186 4482 4897 9794 14691 29382 44073 88146 132219 264438