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234566640 = 243257114231
BaseRepresentation
bin11011111101100…
…11001111110000
3121100101012221100
431332303033300
5440022113030
635135324400
75545532520
oct1576631760
9540335840
10234566640
11110452430
1266680700
133979aa39
142321d680
15158d6360
hexdfb33f0

234566640 has 240 divisors, whose sum is σ = 982365696. Its totient is φ = 48729600.

The previous prime is 234566639. The next prime is 234566653. The reversal of 234566640 is 46665432.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 234566595 and 234566604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53325 + ... + 57555.

Almost surely, 2234566640 is an apocalyptic number.

234566640 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 234566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491182848).

234566640 is an abundant number, since it is smaller than the sum of its proper divisors (747799056).

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

234566640 is a wasteful number, since it uses less digits than its factorization.

234566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 234566640 is about 15315.5685496817. The cubic root of 234566640 is about 616.7210172046.

The spelling of 234566640 in words is "two hundred thirty-four million, five hundred sixty-six thousand, six hundred forty".