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2039296320 = 263251734093
BaseRepresentation
bin111100110001101…
…0011000101000000
312021010021222122100
41321203103011000
513134024440240
6534205110400
7101351506215
oct17143230500
95233258570
102039296320
11957147566
1248ab58400
13266655819
14154ba7b0c
15be075e30
hex798d3140

2039296320 has 168 divisors, whose sum is σ = 7056598536. Its totient is φ = 540536832.

The previous prime is 2039296309. The next prime is 2039296321. The reversal of 2039296320 is 236929302.

It can be written as a sum of positive squares in 4 ways, for example, as 501401664 + 1537894656 = 22392^2 + 39216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039296321) 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 23 ways as a sum of consecutive naturals, for example, 496194 + ... + 500286.

Almost surely, 22039296320 is an apocalyptic number.

2039296320 is a gapful number since it is divisible by the number (20) 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 2039296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528299268).

2039296320 is an abundant number, since it is smaller than the sum of its proper divisors (5017302216).

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

2039296320 is a wasteful number, since it uses less digits than its factorization.

2039296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2039296320 is about 45158.5686221342. The cubic root of 2039296320 is about 1268.1192986834.

The spelling of 2039296320 in words is "two billion, thirty-nine million, two hundred ninety-six thousand, three hundred twenty".