Search a number
-
+
234054912 = 28371317197
BaseRepresentation
bin11011111001101…
…10010100000000
3121022102012222110
431330312110000
5434404224122
635120335320
75541301560
oct1574662400
9538365873
10234054912
11110132a13
1266474540
133964bb40
1423128da0
151583490c
hexdf36500

234054912 has 288 divisors, whose sum is σ = 815899392. Its totient is φ = 57802752.

The previous prime is 234054907. The next prime is 234054917. The reversal of 234054912 is 219450432.

It is an interprime number because it is at equal distance from previous prime (234054907) and next prime (234054917).

It is a self number, because there is not a number n which added to its sum of digits gives 234054912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234054917) by changing a digit.

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, 1187998 + ... + 1188194.

It is an arithmetic number, because the mean of its divisors is an integer number (2832984).

Almost surely, 2234054912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234054912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407949696).

234054912 is an abundant number, since it is smaller than the sum of its proper divisors (581844480).

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

234054912 is a wasteful number, since it uses less digits than its factorization.

234054912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 234054912 is about 15298.8532903613. The cubic root of 234054912 is about 616.2722134167.

The spelling of 234054912 in words is "two hundred thirty-four million, fifty-four thousand, nine hundred twelve".