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234343872 = 26327219223
BaseRepresentation
bin11011111011111…
…00110111000000
3121022221220100200
431331330313000
5434443000442
635130445200
75543614200
oct1575746700
9538856320
10234343872
11110310024
1266593800
1339720519
14231a2400
151589034c
hexdf7cdc0

234343872 has 378 divisors, whose sum is σ = 860514408. Its totient is φ = 60673536.

The previous prime is 234343859. The next prime is 234343877. The reversal of 234343872 is 278343432.

234343872 is a `hidden beast` number, since 234 + 343 + 87 + 2 = 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.

Its product of digits (96768) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234343877) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 10188853 + ... + 10188875.

Almost surely, 2234343872 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 234343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430257204).

234343872 is an abundant number, since it is smaller than the sum of its proper divisors (626170536).

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

234343872 is a wasteful number, since it uses less digits than its factorization.

234343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 234343872 is about 15308.2942224142. The cubic root of 234343872 is about 616.5257219966.

The spelling of 234343872 in words is "two hundred thirty-four million, three hundred forty-three thousand, eight hundred seventy-two".