338296140 has 288 divisors, whose sum is σ = 1330667520. Its totient is φ = 67557888.

The previous prime is 338296139. The next prime is 338296183. The reversal of 338296140 is 41692833.

338296140 is a `hidden beast` number, since 3 + 38 + 2 + 9 + 614 + 0 = 666.

It is a super-2 number, since 2×338296140² = 228888556677799200, which contains 22 as substring.

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 = 338296095 and 338296104.

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, 310677 + ... + 311763.

Almost surely, 2^338296140 is an apocalyptic number.

338296140 is a gapful number since it is divisible by the number (30) 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 338296140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665333760).

338296140 is an abundant number, since it is smaller than the sum of its proper divisors (992371380).

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

338296140 is a wasteful number, since it uses less digits than its factorization.

338296140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 338296140 is about 18392.8284937364. The cubic root of 338296140 is about 696.7853550623.

The spelling of 338296140 in words is "three hundred thirty-eight million, two hundred ninety-six thousand, one hundred forty".