Search a number
-
+
234574080 = 28351337127
BaseRepresentation
bin11011111101101…
…01000100000000
3121100101121010220
431332311010000
5440022332310
635135423040
75545563306
oct1576650400
9540347126
10234574080
11110457a84
1266684a80
13397a1240
1423222276
15158d8670
hexdfb5100

234574080 has 288 divisors, whose sum is σ = 835129344. Its totient is φ = 55738368.

The previous prime is 234574063. The next prime is 234574103. The reversal of 234574080 is 80475432.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1846977 + ... + 1847103.

Almost surely, 2234574080 is an apocalyptic number.

234574080 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 234574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417564672).

234574080 is an abundant number, since it is smaller than the sum of its proper divisors (600555264).

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

234574080 is a wasteful number, since it uses less digits than its factorization.

234574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 234574080 is about 15315.8114378573. The cubic root of 234574080 is about 616.7275375348.

The spelling of 234574080 in words is "two hundred thirty-four million, five hundred seventy-four thousand, eighty".