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234302880 = 25357137509
BaseRepresentation
bin11011111011100…
…10110110100000
3121022212211010110
431331302312200
5434440143010
635125531320
75543353530
oct1575626640
9538784113
10234302880
11110292249
1266573b40
1339707976
14231914c0
1515883120
hexdf72da0

234302880 has 192 divisors, whose sum is σ = 851316480. Its totient is φ = 53059584.

The previous prime is 234302879. The next prime is 234302881. The reversal of 234302880 is 88203432.

It is an interprime number because it is at equal distance from previous prime (234302879) and next prime (234302881).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (234302881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460066 + ... + 460574.

It is an arithmetic number, because the mean of its divisors is an integer number (4433940).

Almost surely, 2234302880 is an apocalyptic number.

234302880 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 234302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425658240).

234302880 is an abundant number, since it is smaller than the sum of its proper divisors (617013600).

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

234302880 is a wasteful number, since it uses less digits than its factorization.

234302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 234302880 is about 15306.9552818319. The cubic root of 234302880 is about 616.4897718408.

The spelling of 234302880 in words is "two hundred thirty-four million, three hundred two thousand, eight hundred eighty".