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234432624 = 2438775569
BaseRepresentation
bin11011111100100…
…10100001110000
3121100010102002210
431332102201300
5440003320444
635132412120
75544434016
oct1576224160
9540112083
10234432624
11110370778
1266617040
1339751a3a
14231c68b6
15158ab7b9
hexdf92870

234432624 has 40 divisors (see below), whose sum is σ = 606417040. Its totient is φ = 78041088.

The previous prime is 234432623. The next prime is 234432643. The reversal of 234432624 is 426234432.

234432624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 234432591 and 234432600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234432623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39312 + ... + 44880.

It is an arithmetic number, because the mean of its divisors is an integer number (15160426).

Almost surely, 2234432624 is an apocalyptic number.

234432624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234432624 is an abundant number, since it is smaller than the sum of its proper divisors (371984416).

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

234432624 is a wasteful number, since it uses less digits than its factorization.

234432624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6451 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 234432624 is about 15311.1927686905. The cubic root of 234432624 is about 616.6035435104.

The spelling of 234432624 in words is "two hundred thirty-four million, four hundred thirty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 877 1754 2631 3508 5262 5569 7016 10524 11138 14032 16707 21048 22276 33414 42096 44552 66828 89104 133656 267312 4884013 9768026 14652039 19536052 29304078 39072104 58608156 78144208 117216312 234432624