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320440140 = 22325172329157
BaseRepresentation
bin10011000110011…
…000011101001100
3211022222001020100
4103012120131030
51124013041030
651444051100
710640460546
oct2306303514
9738861210
10320440140
11154975469
128b393a90
1351506667
14307b4696
151d1ea360
hex1319874c

320440140 has 288 divisors, whose sum is σ = 1118033280. Its totient is φ = 73801728.

The previous prime is 320440129. The next prime is 320440147. The reversal of 320440140 is 41044023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320440147) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2040942 + ... + 2041098.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 2320440140 is an apocalyptic number.

320440140 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 320440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559016640).

320440140 is an abundant number, since it is smaller than the sum of its proper divisors (797593140).

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

320440140 is a wasteful number, since it uses less digits than its factorization.

320440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 320440140 is about 17900.8418796435. The cubic root of 320440140 is about 684.3038303423.

Adding to 320440140 its reverse (41044023), we get a palindrome (361484163).

The spelling of 320440140 in words is "three hundred twenty million, four hundred forty thousand, one hundred forty".