Search a number
-
+
234284508 = 223317912119
BaseRepresentation
bin11011111011011…
…10010111011100
3121022211212221000
431331232113130
5434434101013
635125310300
75543246133
oct1575562734
9538755830
10234284508
1111027a467
1266565390
13396cc4b3
142318891a
151587c973
hexdf6e5dc

234284508 has 48 divisors (see below), whose sum is σ = 610848000. Its totient is φ = 77652144.

The previous prime is 234284507. The next prime is 234284513. The reversal of 234284508 is 805482432.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234284507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13273 + ... + 25391.

It is an arithmetic number, because the mean of its divisors is an integer number (12726000).

Almost surely, 2234284508 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 234284508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305424000).

234284508 is an abundant number, since it is smaller than the sum of its proper divisors (376563492).

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

234284508 is a wasteful number, since it uses less digits than its factorization.

234284508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 234284508 is about 15306.3551507209. The cubic root of 234284508 is about 616.4736581590.

The spelling of 234284508 in words is "two hundred thirty-four million, two hundred eighty-four thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1074 1611 2148 3222 4833 6444 9666 12119 19332 24238 36357 48476 72714 109071 145428 218142 327213 436284 654426 1308852 2169301 4338602 6507903 8677204 13015806 19523709 26031612 39047418 58571127 78094836 117142254 234284508