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234132264 = 233210730391
BaseRepresentation
bin11011111010010…
…01001100101000
3121022120011002100
431331021030220
5434414213024
635122133400
75542043232
oct1575111450
9538504070
10234132264
11110186043
12664b1260
1339678102
1423149252
151584c7c9
hexdf49328

234132264 has 48 divisors (see below), whose sum is σ = 640055520. Its totient is φ = 77312160.

The previous prime is 234132257. The next prime is 234132277. The reversal of 234132264 is 462231432.

234132264 is a `hidden beast` number, since 23 + 413 + 226 + 4 = 666.

234132264 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7492 + ... + 22899.

It is an arithmetic number, because the mean of its divisors is an integer number (13334490).

Almost surely, 2234132264 is an apocalyptic number.

234132264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234132264 is an abundant number, since it is smaller than the sum of its proper divisors (405923256).

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

234132264 is a wasteful number, since it uses less digits than its factorization.

234132264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30510 (or 30503 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 234132264 is about 15301.3811141348. The cubic root of 234132264 is about 616.3400958314.

Adding to 234132264 its reverse (462231432), we get a palindrome (696363696).

The spelling of 234132264 in words is "two hundred thirty-four million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 30391 60782 91173 121564 182346 243128 273519 364692 547038 729384 1094076 2188152 3251837 6503674 9755511 13007348 19511022 26014696 29266533 39022044 58533066 78044088 117066132 234132264