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234343945920 = 26357377312911
BaseRepresentation
bin1101101000111111111…
…1001101011011000000
3211101212211110220102110
43122033333031123000
512314414022232140
6255353420015320
722634155450140
oct3321777153300
9741784426373
10234343945920
1190426059087
1239501391540
131913864c376
14b4b1412920
156168613380
hex368ffcd6c0

234343945920 has 448 divisors, whose sum is σ = 885347536896. Its totient is φ = 51398737920.

The previous prime is 234343945867. The next prime is 234343945939. The reversal of 234343945920 is 29549343432.

It is a tau number, because it is divible by the number of its divisors (448).

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 234343945920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18144265 + ... + 18157175.

Almost surely, 2234343945920 is an apocalyptic number.

234343945920 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 234343945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442673768448).

234343945920 is an abundant number, since it is smaller than the sum of its proper divisors (651003590976).

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

234343945920 is a wasteful number, since it uses less digits than its factorization.

234343945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 234343945920 in words is "two hundred thirty-four billion, three hundred forty-three million, nine hundred forty-five thousand, nine hundred twenty".