Search a number
-
+
234118080 = 263357379
BaseRepresentation
bin11011111010001…
…01101111000000
3121022112102122000
431331011233000
5434413234310
635121544000
75541654000
oct1575055700
9538472560
10234118080
11110176419
12664a5000
1339671811
1423144000
15158484c0
hexdf45bc0

234118080 has 448 divisors, whose sum is σ = 975360000. Its totient is φ = 52835328.

The previous prime is 234118069. The next prime is 234118099. The reversal of 234118080 is 80811432.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2341180802 = 109622550765772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963481 + ... + 2963559.

Almost surely, 2234118080 is an apocalyptic number.

234118080 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 234118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680000).

234118080 is an abundant number, since it is smaller than the sum of its proper divisors (741241920).

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

234118080 is an equidigital number, since it uses as much as digits as its factorization.

234118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 234118080 is about 15300.9176195416. The cubic root of 234118080 is about 616.3276493844.

The spelling of 234118080 in words is "two hundred thirty-four million, one hundred eighteen thousand, eighty".