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234138960 = 2432511173747
BaseRepresentation
bin11011111010010…
…10110101010000
3121022120111021100
431331022311100
5434414421320
635122224400
75542101606
oct1575126520
9538514240
10234138960
11110190080
12664b5100
133967b183
142314b876
151584e790
hexdf4ad50

234138960 has 480 divisors, whose sum is σ = 952653312. Its totient is φ = 50872320.

The previous prime is 234138941. The next prime is 234139013. The reversal of 234138960 is 69831432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4981657 + ... + 4981703.

Almost surely, 2234138960 is an apocalyptic number.

234138960 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 234138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476326656).

234138960 is an abundant number, since it is smaller than the sum of its proper divisors (718514352).

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

234138960 is a wasteful number, since it uses less digits than its factorization.

234138960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 234138960 is about 15301.5999163486. The cubic root of 234138960 is about 616.3459713906.

The spelling of 234138960 in words is "two hundred thirty-four million, one hundred thirty-eight thousand, nine hundred sixty".