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234916928 = 267997479
BaseRepresentation
bin11100000000010…
…00110001000000
3121101001000102222
432000020301000
5440114320203
635151030212
75551522001
oct1600106100
9541030388
10234916928
11110671624
126680b368
13398912cc
14232b11a8
1515955038
hexe008c40

234916928 has 56 divisors (see below), whose sum is σ = 477926400. Its totient is φ = 114536448.

The previous prime is 234916901. The next prime is 234916939. The reversal of 234916928 is 829619432.

It is a Cunningham number, because it is equal to 153272-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490193 + ... + 490671.

It is an arithmetic number, because the mean of its divisors is an integer number (8534400).

Almost surely, 2234916928 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 234916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238963200).

234916928 is an abundant number, since it is smaller than the sum of its proper divisors (243009472).

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

234916928 is an equidigital number, since it uses as much as digits as its factorization.

234916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 234916928 is about 15326.9999673778. Note that the first 4 decimals coincide. The cubic root of 234916928 is about 617.0278561272.

The spelling of 234916928 in words is "two hundred thirty-four million, nine hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 79 97 158 194 316 388 479 632 776 958 1264 1552 1916 2528 3104 3832 5056 6208 7663 7664 15326 15328 30652 30656 37841 46463 61304 75682 92926 122608 151364 185852 245216 302728 371704 490432 605456 743408 1210912 1486816 2421824 2973632 3670577 7341154 14682308 29364616 58729232 117458464 234916928