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234382720 = 27511132197
BaseRepresentation
bin11011111100001…
…10010110000000
3121100000212122111
431332012112000
5440000221340
635131345104
75544135355
oct1576062600
9540025574
10234382720
11110337230
12665b2194
1339735100
14231b262c
151589baea
hexdf86580

234382720 has 192 divisors, whose sum is σ = 665256240. Its totient is φ = 78274560.

The previous prime is 234382703. The next prime is 234382747. The reversal of 234382720 is 27283432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189662 + ... + 1189858.

Almost surely, 2234382720 is an apocalyptic number.

234382720 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 234382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332628120).

234382720 is an abundant number, since it is smaller than the sum of its proper divisors (430873520).

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

234382720 is a wasteful number, since it uses less digits than its factorization.

234382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 234382720 is about 15309.5630244628. The cubic root of 234382720 is about 616.5597879864.

The spelling of 234382720 in words is "two hundred thirty-four million, three hundred eighty-two thousand, seven hundred twenty".