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234424432 = 24112196373
BaseRepresentation
bin11011111100100…
…00100001110000
3121100002222212101
431332100201300
5440003040212
635132310144
75544401104
oct1576204160
9540088771
10234424432
11110365600
1266612354
133974b0a8
14231c3904
15158a9157
hexdf90870

234424432 has 60 divisors (see below), whose sum is σ = 525600040. Its totient is φ = 100932480.

The previous prime is 234424427. The next prime is 234424483.

It is a happy number.

234424432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234424432.

It is a congruent number.

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, 33598 + ... + 39970.

Almost surely, 2234424432 is an apocalyptic number.

234424432 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 234424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262800020).

234424432 is an abundant number, since it is smaller than the sum of its proper divisors (291175608).

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

234424432 is a wasteful number, since it uses less digits than its factorization.

234424432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6405 counting only the distinct ones).

The product of its digits is 18432, while the sum is 28.

The square root of 234424432 is about 15310.9252496379. The cubic root of 234424432 is about 616.5963612406.

The spelling of 234424432 in words is "two hundred thirty-four million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 1672 1936 2299 3344 4598 6373 9196 12746 18392 25492 36784 50984 70103 101968 121087 140206 242174 280412 484348 560824 771133 968696 1121648 1331957 1542266 1937392 2663914 3084532 5327828 6169064 10655656 12338128 14651527 21311312 29303054 58606108 117212216 234424432