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234397800 = 23355271353
BaseRepresentation
bin11011111100010…
…10000001101000
3121100001122100000
431332022001220
5440001212200
635131543000
75544230340
oct1576120150
9540048300
10234397800
1111034759a
12665baa60
133973bc30
14231b7d20
15158a1300
hexdf8a068

234397800 has 576 divisors, whose sum is σ = 1023684480. Its totient is φ = 48522240.

The previous prime is 234397799. The next prime is 234397811. The reversal of 234397800 is 8793432.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4422574 + ... + 4422626.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2234397800 is an apocalyptic number.

234397800 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 234397800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

234397800 is an abundant number, since it is smaller than the sum of its proper divisors (789286680).

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

234397800 is a wasteful number, since it uses less digits than its factorization.

234397800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 234397800 is about 15310.0555191678. The cubic root of 234397800 is about 616.5730106936.

The spelling of 234397800 in words is "two hundred thirty-four million, three hundred ninety-seven thousand, eight hundred".