Search a number
-
+
234875520 = 27325112337
BaseRepresentation
bin11011111111111…
…10101010000000
3121100221220122100
431333332222000
5440112004040
635150110400
75551260165
oct1577765200
9540856570
10234875520
11110643500
12667ab400
13398784c9
14232a006c
1515947b30
hexdffea80

234875520 has 288 divisors, whose sum is σ = 894135060. Its totient is φ = 56770560.

The previous prime is 234875507. The next prime is 234875527. The reversal of 234875520 is 25578432.

234875520 is a `hidden beast` number, since 23 + 4 + 87 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226442304 + 8433216 = 15048^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (234875527) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 696792 + ... + 697128.

Almost surely, 2234875520 is an apocalyptic number.

234875520 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 234875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447067530).

234875520 is an abundant number, since it is smaller than the sum of its proper divisors (659259540).

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

234875520 is a wasteful number, since it uses less digits than its factorization.

234875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 234875520 is about 15325.6490890272. The cubic root of 234875520 is about 616.9916002033.

The spelling of 234875520 in words is "two hundred thirty-four million, eight hundred seventy-five thousand, five hundred twenty".