114347376 has 200 divisors, whose sum is σ = 389443824. Its totient is φ = 31933440.

The previous prime is 114347309. The next prime is 114347393. The reversal of 114347376 is 673743411.

114347376 is a `hidden beast` number, since 114 + 3 + 473 + 76 = 666.

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 114347376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185020 + ... + 185636.

Almost surely, 2^114347376 is an apocalyptic number.

114347376 is a gapful number since it is divisible by the number (16) 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 114347376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194721912).

114347376 is an abundant number, since it is smaller than the sum of its proper divisors (275096448).

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

114347376 is a wasteful number, since it uses less digits than its factorization.

114347376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 646 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 114347376 is about 10693.3332502078. Note that the first 3 decimals coincide. The cubic root of 114347376 is about 485.3727619284.

The spelling of 114347376 in words is "one hundred fourteen million, three hundred forty-seven thousand, three hundred seventy-six".