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234149616 = 24341937257
BaseRepresentation
bin11011111010011…
…01011011110000
3121022121000220000
431331031123300
5434420241431
635122350000
75542144641
oct1575153360
9538530800
10234149616
11110198088
12664bb300
1339682c8c
14231516c8
15158529e6
hexdf4d6f0

234149616 has 200 divisors, whose sum is σ = 735496080. Its totient is φ = 71663616.

The previous prime is 234149593. The next prime is 234149627. The reversal of 234149616 is 616941432.

234149616 is a `hidden beast` number, since 2 + 34 + 1 + 4 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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

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 39 ways as a sum of consecutive naturals, for example, 910960 + ... + 911216.

Almost surely, 2234149616 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 234149616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367748040).

234149616 is an abundant number, since it is smaller than the sum of its proper divisors (501346464).

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

234149616 is a wasteful number, since it uses less digits than its factorization.

234149616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 234149616 is about 15301.9481112700. The cubic root of 234149616 is about 616.3553215119.

The spelling of 234149616 in words is "two hundred thirty-four million, one hundred forty-nine thousand, six hundred sixteen".