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234581296 = 24191973917
BaseRepresentation
bin11011111101101…
…10110100110000
3121100101222001011
431332312310300
5440023100141
635135520304
75545623325
oct1576666460
9540358034
10234581296
11110462444
1266689094
13397a4601
1423224b4c
15158da881
hexdfb6d30

234581296 has 40 divisors (see below), whose sum is σ = 480973680. Its totient is φ = 110525184.

The previous prime is 234581273. The next prime is 234581311. The reversal of 234581296 is 692185432.

234581296 = T12504 + T12505 + T12506.

It is an alternating number because its digits alternate between even and odd.

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 7 ways as a sum of consecutive naturals, for example, 57930 + ... + 61846.

It is an arithmetic number, because the mean of its divisors is an integer number (12024342).

Almost surely, 2234581296 is an apocalyptic number.

234581296 is the 12506-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234581296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240486840).

234581296 is an abundant number, since it is smaller than the sum of its proper divisors (246392384).

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

234581296 is a wasteful number, since it uses less digits than its factorization.

234581296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 234581296 is about 15316.0470095910. The cubic root of 234581296 is about 616.7338614223.

The spelling of 234581296 in words is "two hundred thirty-four million, five hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 197 304 394 788 1576 3152 3743 3917 7486 7834 14972 15668 29944 31336 59888 62672 74423 148846 297692 595384 771649 1190768 1543298 3086596 6173192 12346384 14661331 29322662 58645324 117290648 234581296