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234709342920 = 2332513223414091
BaseRepresentation
bin1101101010010111000…
…1000101101011001000
3211102211022000222212200
43122211301011223020
512321141042433140
6255453551440200
722646213332413
oct3324561055310
9742738028780
10234709342920
11905a333a278
12395a3826060
1319196266800
14b507b6ab7a
15618a73e030
hex36a5c45ac8

234709342920 has 576 divisors, whose sum is σ = 883147224960. Its totient is φ = 53901619200.

The previous prime is 234709342853. The next prime is 234709342979. The reversal of 234709342920 is 29243907432.

234709342920 is a `hidden beast` number, since 2 + 3 + 470 + 93 + 4 + 2 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57370075 + ... + 57374165.

It is an arithmetic number, because the mean of its divisors is an integer number (1533241710).

Almost surely, 2234709342920 is an apocalyptic number.

234709342920 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 234709342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441573612480).

234709342920 is an abundant number, since it is smaller than the sum of its proper divisors (648437882040).

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

234709342920 is a wasteful number, since it uses less digits than its factorization.

234709342920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 234709342920 in words is "two hundred thirty-four billion, seven hundred nine million, three hundred forty-two thousand, nine hundred twenty".