Search a number
-
+
234008676 = 223411247127
BaseRepresentation
bin11011111001010…
…11000001100100
3121022022212120000
431330223001210
5434401234201
635115341300
75541020016
oct1574530144
9538285500
10234008676
11110101200
1266451830
1339633a95
14231161b6
1515825d86
hexdf2b064

234008676 has 180 divisors, whose sum is σ = 692127744. Its totient is φ = 68856480.

The previous prime is 234008653. The next prime is 234008699. The reversal of 234008676 is 676800432.

234008676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234008653) and next prime (234008699).

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

It is a self number, because there is not a number n which added to its sum of digits gives 234008676.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1842525 + ... + 1842651.

Almost surely, 2234008676 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 234008676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346063872).

234008676 is an abundant number, since it is smaller than the sum of its proper divisors (458119068).

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

234008676 is a wasteful number, since it uses less digits than its factorization.

234008676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 234008676 is about 15297.3421220812. The cubic root of 234008676 is about 616.2316305776.

The spelling of 234008676 in words is "two hundred thirty-four million, eight thousand, six hundred seventy-six".