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234148320 = 2534572989
BaseRepresentation
bin11011111010011…
…01000111100000
3121022120222010000
431331031013200
5434420221240
635122340000
75542141110
oct1575150740
9538528100
10234148320
1111019710a
12664ba600
1339682503
1423151040
1515852430
hexdf4d1e0

234148320 has 480 divisors, whose sum is σ = 987940800. Its totient is φ = 51093504.

The previous prime is 234148307. The next prime is 234148351. The reversal of 234148320 is 23841432.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630836 + ... + 2630924.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2234148320 is an apocalyptic number.

234148320 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 234148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493970400).

234148320 is an abundant number, since it is smaller than the sum of its proper divisors (753792480).

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

234148320 is a wasteful number, since it uses less digits than its factorization.

234148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 234148320 is about 15301.9057636623. The cubic root of 234148320 is about 616.3541843502.

Adding to 234148320 its reverse (23841432), we get a palindrome (257989752).

The spelling of 234148320 in words is "two hundred thirty-four million, one hundred forty-eight thousand, three hundred twenty".