Search a number
-
+
234963120 = 243571719433
BaseRepresentation
bin11100000000101…
…00000010110000
3121101010100210210
432000110002300
5440122304440
635152024120
75552103450
oct1600240260
9541110723
10234963120
111106a32a7
1266832040
13398a9342
14232c3d60
1515963a80
hexe0140b0

234963120 has 320 divisors, whose sum is σ = 929940480. Its totient is φ = 47775744.

The previous prime is 234963031. The next prime is 234963121. The reversal of 234963120 is 21369432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (234963121) 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, 542424 + ... + 542856.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2234963120 is an apocalyptic number.

234963120 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 234963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

234963120 is an abundant number, since it is smaller than the sum of its proper divisors (694977360).

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

234963120 is a wasteful number, since it uses less digits than its factorization.

234963120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 234963120 is about 15328.5067765911. The cubic root of 234963120 is about 617.0682957883.

The spelling of 234963120 in words is "two hundred thirty-four million, nine hundred sixty-three thousand, one hundred twenty".