Search a number
-
+
234366352 = 24112177121
BaseRepresentation
bin11011111100000…
…10010110010000
3121100000001012021
431332002112100
5434444210402
635131141224
75544036553
oct1576022620
9540001167
10234366352
11110325a00
12665a4814
133972a81c
14231aa69a
1515896d37
hexdf82590

234366352 has 60 divisors (see below), whose sum is σ = 528552108. Its totient is φ = 100249600.

The previous prime is 234366347. The next prime is 234366409. The reversal of 234366352 is 253663432.

It can be written as a sum of positive squares in 2 ways, for example, as 78216336 + 156150016 = 8844^2 + 12496^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29352 + ... + 36472.

Almost surely, 2234366352 is an apocalyptic number.

234366352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234366352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264276054).

234366352 is an abundant number, since it is smaller than the sum of its proper divisors (294185756).

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

234366352 is a wasteful number, since it uses less digits than its factorization.

234366352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7151 counting only the distinct ones).

The product of its digits is 77760, while the sum is 34.

The square root of 234366352 is about 15309.0284472921. The cubic root of 234366352 is about 616.5454352709.

The spelling of 234366352 in words is "two hundred thirty-four million, three hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1496 1936 2057 2992 4114 7121 8228 14242 16456 28484 32912 56968 78331 113936 121057 156662 242114 313324 484228 626648 861641 968456 1253296 1331627 1723282 1936912 2663254 3446564 5326508 6893128 10653016 13786256 14647897 21306032 29295794 58591588 117183176 234366352