Search a number
-
+
116746344 = 23321113172329
BaseRepresentation
bin1101111010101…
…10100001101000
322010200022212200
412331112201220
5214341340334
615330140200
72615220231
oct675264150
9263608780
10116746344
115a99a290
1233121660
131b257ca0
1411710088
15a3b1799
hex6f56868

116746344 has 384 divisors, whose sum is σ = 424569600. Its totient is φ = 28385280.

The previous prime is 116746339. The next prime is 116746363. The reversal of 116746344 is 443647611.

116746344 is a `hidden beast` number, since 1 + 16 + 7 + 4 + 634 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116746299 and 116746308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4025722 + ... + 4025750.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2116746344 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 116746344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

116746344 is an abundant number, since it is smaller than the sum of its proper divisors (307823256).

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

116746344 is a wasteful number, since it uses less digits than its factorization.

116746344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 98 counting only the distinct ones).

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

The square root of 116746344 is about 10804.9222116589. The cubic root of 116746344 is about 488.7436145798.

The spelling of 116746344 in words is "one hundred sixteen million, seven hundred forty-six thousand, three hundred forty-four".