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234483578880 = 2113541832243
BaseRepresentation
bin1101101001100001001…
…1110111100000000000
3211102020120012222211120
43122120103313200000
512320210244011010
6255415324512240
722640502351255
oct3323023674000
9742216188746
10234483578880
119049795a421
12395400ab680
131915b55b615
14b4c5b9d42c
1561759e5e70
hex36984f7800

234483578880 has 384 divisors, whose sum is σ = 778066248960. Its totient is φ = 60242001920.

The previous prime is 234483578843. The next prime is 234483578939. The reversal of 234483578880 is 88875384432.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104539039 + ... + 104541281.

It is an arithmetic number, because the mean of its divisors is an integer number (2026214190).

Almost surely, 2234483578880 is an apocalyptic number.

234483578880 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 234483578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389033124480).

234483578880 is an abundant number, since it is smaller than the sum of its proper divisors (543582670080).

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

234483578880 is a wasteful number, since it uses less digits than its factorization.

234483578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 234483578880 in words is "two hundred thirty-four billion, four hundred eighty-three million, five hundred seventy-eight thousand, eight hundred eighty".