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234821328 = 2437299839
BaseRepresentation
bin11011111111100…
…01011011010000
3121100212011022020
431333301123100
5440103240303
635145011440
75550643200
oct1577613320
9540764266
10234821328
11110606815
1266783b80
1339859941
1423288400
1515936a53
hexdff16d0

234821328 has 60 divisors (see below), whose sum is σ = 705669120. Its totient is φ = 67091136.

The previous prime is 234821291. The next prime is 234821333. The reversal of 234821328 is 823128432.

234821328 is digitally balanced in base 3, 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47568 + ... + 52271.

It is an arithmetic number, because the mean of its divisors is an integer number (11761152).

Almost surely, 2234821328 is an apocalyptic number.

234821328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

234821328 is an abundant number, since it is smaller than the sum of its proper divisors (470847792).

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

234821328 is a wasteful number, since it uses less digits than its factorization.

234821328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99864 (or 99851 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 234821328 is about 15323.8809705636. The cubic root of 234821328 is about 616.9441444551.

The spelling of 234821328 in words is "two hundred thirty-four million, eight hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 99839 199678 299517 399356 599034 698873 798712 1198068 1397746 1597424 2096619 2396136 2795492 4193238 4792272 4892111 5590984 8386476 9784222 11181968 14676333 16772952 19568444 29352666 33545904 39136888 58705332 78273776 117410664 234821328