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982336680 = 2333513313761
BaseRepresentation
bin111010100011010…
…100010010101000
32112110102212121000
4322203110102220
54002434233210
6241250515000
733225503223
oct7243242250
92473385530
10982336680
1146455a0a6
12234b95a60
13128694510
14946705ba
155b392ac0
hex3a8d44a8

982336680 has 512 divisors, whose sum is σ = 3799756800. Its totient is φ = 223948800.

The previous prime is 982336679. The next prime is 982336703. The reversal of 982336680 is 86633289.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 16103850 + ... + 16103910.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2982336680 is an apocalyptic number.

982336680 is a gapful number since it is divisible by the number (90) 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 982336680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899878400).

982336680 is an abundant number, since it is smaller than the sum of its proper divisors (2817420120).

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

982336680 is a wasteful number, since it uses less digits than its factorization.

982336680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 982336680 is about 31342.2507168838. The cubic root of 982336680 is about 994.0772165588.

The spelling of 982336680 in words is "nine hundred eighty-two million, three hundred thirty-six thousand, six hundred eighty".