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234008460 = 223357311997
BaseRepresentation
bin11011111001010…
…10111110001100
3121022022212021000
431330222332030
5434401232320
635115340300
75541016260
oct1574527614
9538285230
10234008460
11110101024
1266451690
133963395a
14231160a0
1515825c90
hexdf2af8c

234008460 has 192 divisors, whose sum is σ = 859299840. Its totient is φ = 51736320.

The previous prime is 234008413. The next prime is 234008471. The reversal of 234008460 is 64800432.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116182 + ... + 118178.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 2234008460 is an apocalyptic number.

234008460 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 234008460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429649920).

234008460 is an abundant number, since it is smaller than the sum of its proper divisors (625291380).

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

234008460 is a wasteful number, since it uses less digits than its factorization.

234008460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

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

The square root of 234008460 is about 15297.3350620296. The cubic root of 234008460 is about 616.2314409748.

Adding to 234008460 its reverse (64800432), we get a palindrome (298808892).

The spelling of 234008460 in words is "two hundred thirty-four million, eight thousand, four hundred sixty".