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234972275328 = 273574612341
BaseRepresentation
bin1101101011010101110…
…0000110001010000000
3211110111121210100100000
43122311130012022000
512322210400302303
6255540023200000
722655555246250
oct3326534061200
9743447710300
10234972275328
11907187a628a
12396578a6000
131920888670b
14b530a51960
1561a3879da3
hex36b5706280

234972275328 has 384 divisors, whose sum is σ = 803452890240. Its totient is φ = 66960691200.

The previous prime is 234972275227. The next prime is 234972275347. The reversal of 234972275328 is 823572279432.

234972275328 is a `hidden beast` number, since 2 + 3 + 4 + 97 + 227 + 5 + 328 = 666.

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100371438 + ... + 100373778.

It is an arithmetic number, because the mean of its divisors is an integer number (2092325235).

Almost surely, 2234972275328 is an apocalyptic number.

234972275328 is a gapful number since it is divisible by the number (28) 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 234972275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401726445120).

234972275328 is an abundant number, since it is smaller than the sum of its proper divisors (568480614912).

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

234972275328 is an equidigital number, since it uses as much as digits as its factorization.

234972275328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2814 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 234972275328 in words is "two hundred thirty-four billion, nine hundred seventy-two million, two hundred seventy-five thousand, three hundred twenty-eight".