[go: up one dir, main page]

Search a number
-
+
234299520 = 27335713149
BaseRepresentation
bin11011111011100…
…10000010000000
3121022212122112000
431331302002000
5434440041040
635125504000
75543340660
oct1575620200
9538778460
10234299520
1111028a774
1266572000
1339706290
14231901a0
1515882130
hexdf72080

234299520 has 512 divisors, whose sum is σ = 1028160000. Its totient is φ = 49102848.

The previous prime is 234299479. The next prime is 234299521. The reversal of 234299520 is 25992432.

234299520 is a `hidden beast` number, since 2 + 3 + 42 + 99 + 520 = 666.

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 (234299521) 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, 1572406 + ... + 1572554.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2234299520 is an apocalyptic number.

234299520 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 234299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080000).

234299520 is an abundant number, since it is smaller than the sum of its proper divisors (793860480).

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

234299520 is a wasteful number, since it uses less digits than its factorization.

234299520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 234299520 is about 15306.8455274103. The cubic root of 234299520 is about 616.4868249208.

The spelling of 234299520 in words is "two hundred thirty-four million, two hundred ninety-nine thousand, five hundred twenty".