Search a number
-
+
234962640 = 243351122931
BaseRepresentation
bin11100000000100…
…11111011010000
3121101010100011000
432000103323100
5440122301030
635152022000
75552102163
oct1600237320
9541110130
10234962640
111106a2a00
1266831900
13398a9063
14232c3ada
1515963860
hexe013ed0

234962640 has 480 divisors, whose sum is σ = 949939200. Its totient is φ = 53222400.

The previous prime is 234962591. The next prime is 234962647. The reversal of 234962640 is 46269432.

234962640 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 6 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234962595 and 234962604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234962647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7579425 + ... + 7579455.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2234962640 is an apocalyptic number.

234962640 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 234962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474969600).

234962640 is an abundant number, since it is smaller than the sum of its proper divisors (714976560).

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

234962640 is a wasteful number, since it uses less digits than its factorization.

234962640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 234962640 is about 15328.4911194807. The cubic root of 234962640 is about 617.0678755904.

The spelling of 234962640 in words is "two hundred thirty-four million, nine hundred sixty-two thousand, six hundred forty".