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234121984 = 283892351
BaseRepresentation
bin11011111010001…
…10101100000000
3121022112121222121
431331012230000
5434413400414
635122014024
75542001245
oct1575065400
9538477877
10234121984
11110179348
12664a7314
1339673525
14231455cc
1515849724
hexdf46b00

234121984 has 36 divisors (see below), whose sum is σ = 468730080. Its totient is φ = 116710400.

The previous prime is 234121981. The next prime is 234122033. The reversal of 234121984 is 489121432.

It is not an unprimeable number, because it can be changed into a prime (234121981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 98409 + ... + 100759.

It is an arithmetic number, because the mean of its divisors is an integer number (13020280).

Almost surely, 2234121984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365040).

234121984 is an abundant number, since it is smaller than the sum of its proper divisors (234608096).

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

234121984 is an equidigital number, since it uses as much as digits as its factorization.

234121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2742 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 234121984 is about 15301.0451930579. The cubic root of 234121984 is about 616.3310751910.

The spelling of 234121984 in words is "two hundred thirty-four million, one hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 389 778 1556 2351 3112 4702 6224 9404 12448 18808 24896 37616 49792 75232 99584 150464 300928 601856 914539 1829078 3658156 7316312 14632624 29265248 58530496 117060992 234121984