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234231368 = 23727732
BaseRepresentation
bin11011111011000…
…01011001001000
3121022202012000212
431331201121020
5434430400433
635124220252
75542635200
oct1575413110
9538665025
10234231368
11110243548
126653a688
13396b1257
1423173400
151586bd48
hexdf61648

234231368 has 36 divisors (see below), whose sum is σ = 511549065. Its totient is φ = 100255008.

The previous prime is 234231367. The next prime is 234231383. The reversal of 234231368 is 863132432.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

234231368 is digitally balanced in base 2, 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 2 ways, for example, as 174292804 + 59938564 = 13202^2 + 7742^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10822.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234231367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 302630 + ... + 303402.

Almost surely, 2234231368 is an apocalyptic number.

234231368 is a gapful number since it is divisible by the number (28) 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 234231368

234231368 is an abundant number, since it is smaller than the sum of its proper divisors (277317697).

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

234231368 is an frugal number, since it uses more digits than its factorization.

234231368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 782 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 234231368 is about 15304.6191720016. The cubic root of 234231368 is about 616.4270454777.

Multiplying 234231368 by its sum of digits (32), we get a square (7495403776 = 865762).

The spelling of 234231368 in words is "two hundred thirty-four million, two hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 773 1546 3092 5411 6184 10822 21644 37877 43288 75754 151508 303016 597529 1195058 2390116 4182703 4780232 8365406 16730812 29278921 33461624 58557842 117115684 234231368