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234875424 = 253741019
BaseRepresentation
bin11011111111111…
…10101000100000
3121100221220111210
431333332220200
5440112003144
635150110120
75551260000
oct1577765040
9540856453
10234875424
11110643423
12667ab340
1339878454
14232a0000
1515947ab9
hexdffea20

234875424 has 120 divisors (see below), whose sum is σ = 719969040. Its totient is φ = 67041408.

The previous prime is 234875413. The next prime is 234875447. The reversal of 234875424 is 424578432.

It is a happy 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 19 ways as a sum of consecutive naturals, for example, 229987 + ... + 231005.

It is an arithmetic number, because the mean of its divisors is an integer number (5999742).

Almost surely, 2234875424 is an apocalyptic number.

234875424 is a gapful number since it is divisible by the number (24) 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 234875424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359984520).

234875424 is an abundant number, since it is smaller than the sum of its proper divisors (485093616).

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

234875424 is an equidigital number, since it uses as much as digits as its factorization.

234875424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1031 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 234875424 is about 15325.6459570225. The cubic root of 234875424 is about 616.9915161429.

The spelling of 234875424 in words is "two hundred thirty-four million, eight hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1019 1029 1176 1372 1568 2038 2058 2352 2401 2744 3057 4076 4116 4704 4802 5488 6114 7133 7203 8152 8232 9604 10976 12228 14266 14406 16304 16464 19208 21399 24456 28532 28812 32608 32928 38416 42798 48912 49931 57064 57624 76832 85596 97824 99862 114128 115248 149793 171192 199724 228256 230496 299586 342384 349517 399448 599172 684768 699034 798896 1048551 1198344 1398068 1597792 2097102 2396688 2446619 2796136 4194204 4793376 4893238 5592272 7339857 8388408 9786476 11184544 14679714 16776816 19572952 29359428 33553632 39145904 58718856 78291808 117437712 234875424