114377340 has 192 divisors, whose sum is σ = 420618240. Its totient is φ = 22498560.

The previous prime is 114377303. The next prime is 114377353. The reversal of 114377340 is 43773411.

114377340 = 85² + 86² + ... + 700².

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

It is a junction number, because it is equal to n+sod(n) for n = 114377298 and 114377307.

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 63 ways as a sum of consecutive naturals, for example, 87129 + ... + 88431.

It is an arithmetic number, because the mean of its divisors is an integer number (2190720).

Almost surely, 2^114377340 is an apocalyptic number.

114377340 is a gapful number since it is divisible by the number (10) 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 114377340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210309120).

114377340 is an abundant number, since it is smaller than the sum of its proper divisors (306240900).

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

114377340 is a wasteful number, since it uses less digits than its factorization.

114377340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 114377340 is about 10694.7342182964. The cubic root of 114377340 is about 485.4151545038.

It can be divided in two parts, 1 and 14377340, that added together give a palindrome (14377341).

The spelling of 114377340 in words is "one hundred fourteen million, three hundred seventy-seven thousand, three hundred forty".