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234575523840 = 2123574153251
BaseRepresentation
bin1101101001110111001…
…0100111000000000000
3211102110222020021121110
43122131302213000000
512320402313230330
6255432411323320
722643000024340
oct3323562470000
9742428207543
10234575523840
1190534849a99
1239566a50540
1319174611918
14b4d4094d20
15617db08db0
hex369dca7000

234575523840 has 832 divisors, whose sum is σ = 898838664192. Its totient is φ = 51118080000.

The previous prime is 234575523829. The next prime is 234575523841. The reversal of 234575523840 is 48325575432.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 234575523840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234575523841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934563715 + ... + 934563965.

Almost surely, 2234575523840 is an apocalyptic number.

234575523840 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 234575523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449419332096).

234575523840 is an abundant number, since it is smaller than the sum of its proper divisors (664263140352).

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

234575523840 is a wasteful number, since it uses less digits than its factorization.

234575523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 234575523840 in words is "two hundred thirty-four billion, five hundred seventy-five million, five hundred twenty-three thousand, eight hundred forty".