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234648960 = 27357131779
BaseRepresentation
bin11011111110001…
…11010110000000
3121100112101212020
431333013112000
5440032231320
635141201440
75546324520
oct1577072600
9540471766
10234648960
111104a9267
1266700280
13397c9350
1423241680
1515900940
hexdfc7580

234648960 has 512 divisors, whose sum is σ = 987033600. Its totient is φ = 46006272.

The previous prime is 234648949. The next prime is 234648961. The reversal of 234648960 is 69846432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234648961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2970201 + ... + 2970279.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2234648960 is an apocalyptic number.

234648960 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 234648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

234648960 is an abundant number, since it is smaller than the sum of its proper divisors (752384640).

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

234648960 is a wasteful number, since it uses less digits than its factorization.

234648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 234648960 is about 15318.2557753812. The cubic root of 234648960 is about 616.7931538283.

The spelling of 234648960 in words is "two hundred thirty-four million, six hundred forty-eight thousand, nine hundred sixty".