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234146880 = 263251119389
BaseRepresentation
bin11011111010011…
…00110001000000
3121022120220010200
431331030301000
5434420200010
635122325200
75542133652
oct1575146100
9538526120
10234146880
11110196020
12664b9800
1339681966
14231506d2
1515851cc0
hexdf4cc40

234146880 has 336 divisors, whose sum is σ = 927201600. Its totient is φ = 53637120.

The previous prime is 234146867. The next prime is 234146881. The reversal of 234146880 is 88641432.

It is a super-2 number, since 2×2341468802 = 109649522827468800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (234146881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 601726 + ... + 602114.

Almost surely, 2234146880 is an apocalyptic number.

234146880 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 234146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463600800).

234146880 is an abundant number, since it is smaller than the sum of its proper divisors (693054720).

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

234146880 is a wasteful number, since it uses less digits than its factorization.

234146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 234146880 is about 15301.8587106273. The cubic root of 234146880 is about 616.3529208322.

The spelling of 234146880 in words is "two hundred thirty-four million, one hundred forty-six thousand, eight hundred eighty".