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233436104 = 231141993
BaseRepresentation
bin11011110100111…
…11001111001000
3121021020210010122
431322133033020
5434224423404
635055202412
75533113506
oct1572371710
9537223118
10233436104
1110a850000
1266216408
1339493295
1423007676
15157613be
hexde9f3c8

233436104 has 40 divisors (see below), whose sum is σ = 481700550. Its totient is φ = 106054080.

The previous prime is 233436103. The next prime is 233436113. The reversal of 233436104 is 401634332.

It is a happy number.

233436104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 177156100 + 56280004 = 13310^2 + 7502^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (233436101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 116132 + ... + 118124.

Almost surely, 2233436104 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 233436104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240850275).

233436104 is an abundant number, since it is smaller than the sum of its proper divisors (248264446).

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

233436104 is an equidigital number, since it uses as much as digits as its factorization.

233436104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 233436104 is about 15278.6159058993. The cubic root of 233436104 is about 615.7286219589.

The spelling of 233436104 in words is "two hundred thirty-three million, four hundred thirty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 1993 2662 3986 5324 7972 10648 14641 15944 21923 29282 43846 58564 87692 117128 175384 241153 482306 964612 1929224 2652683 5305366 10610732 21221464 29179513 58359026 116718052 233436104