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234120132 = 22342924917
BaseRepresentation
bin11011111010001…
…10001111000100
3121022112112110000
431331012033010
5434413321012
635122001300
75541662661
oct1575061704
9538475400
10234120132
11110177a14
12664a6230
133967272c
1423144a68
1515848ddc
hexdf463c4

234120132 has 60 divisors (see below), whose sum is σ = 633166380. Its totient is φ = 75345984.

The previous prime is 234120097. The next prime is 234120137. The reversal of 234120132 is 231021432.

It can be written as a sum of positive squares in 2 ways, for example, as 142420356 + 91699776 = 11934^2 + 9576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (234120137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3063 + ... + 21854.

It is an arithmetic number, because the mean of its divisors is an integer number (10552773).

Almost surely, 2234120132 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 234120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316583190).

234120132 is an abundant number, since it is smaller than the sum of its proper divisors (399046248).

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

234120132 is a wasteful number, since it uses less digits than its factorization.

234120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24962 (or 24951 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234120132 is about 15300.9846741966. The cubic root of 234120132 is about 616.3294500436.

Adding to 234120132 its reverse (231021432), we get a palindrome (465141564).

The spelling of 234120132 in words is "two hundred thirty-four million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 24917 49834 74751 99668 149502 224253 299004 448506 672759 722593 897012 1345518 1445186 2018277 2167779 2691036 2890372 4036554 4335558 6503337 8073108 8671116 13006674 19510011 26013348 39020022 58530033 78040044 117060066 234120132