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234645840 = 2432511134353
BaseRepresentation
bin11011111110001…
…10100101010000
3121100112020120200
431333012211100
5440032131330
635141135200
75546312442
oct1577064520
9540466520
10234645840
111104a6990
12666ba500
13397c7ac0
1423240492
15158eea60
hexdfc6950

234645840 has 480 divisors, whose sum is σ = 965188224. Its totient is φ = 50319360.

The previous prime is 234645821. The next prime is 234645847. The reversal of 234645840 is 48546432.

234645840 is a `hidden beast` number, since 2 + 3 + 4 + 645 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 234645795 and 234645804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234645847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4427254 + ... + 4427306.

Almost surely, 2234645840 is an apocalyptic number.

234645840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234645840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482594112).

234645840 is an abundant number, since it is smaller than the sum of its proper divisors (730542384).

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

234645840 is a wasteful number, since it uses less digits than its factorization.

234645840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 234645840 is about 15318.1539357718. The cubic root of 234645840 is about 616.7904200948.

The spelling of 234645840 in words is "two hundred thirty-four million, six hundred forty-five thousand, eight hundred forty".