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3340426320 = 2432571189677
BaseRepresentation
bin1100011100011010…
…1101110001010000
322121210121020110100
43013012231301100
523320122120240
61311244532400
7145531104150
oct30706556120
98553536410
103340426320
111464646810
12792851100
13413097c2a
14239900760
151483dae30
hexc71adc50

3340426320 has 480 divisors, whose sum is σ = 14164450560. Its totient is φ = 685301760.

The previous prime is 3340426301. The next prime is 3340426337. The reversal of 3340426320 is 236240433.

It is a happy number.

3340426320 is a `hidden beast` number, since 334 + 0 + 4 + 2 + 6 + 320 = 666.

It is a super-2 number, since 2×33404263202 = 22316895998697484800, which contains 22 as substring.

It is a congruent number.

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, 4933822 + ... + 4934498.

It is an arithmetic number, because the mean of its divisors is an integer number (29509272).

Almost surely, 23340426320 is an apocalyptic number.

3340426320 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 3340426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082225280).

3340426320 is an abundant number, since it is smaller than the sum of its proper divisors (10824024240).

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

3340426320 is a wasteful number, since it uses less digits than its factorization.

3340426320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3340426320 is about 57796.4213425018. The cubic root of 3340426320 is about 1494.8603830050.

Adding to 3340426320 its reverse (236240433), we get a palindrome (3576666753).

The spelling of 3340426320 in words is "three billion, three hundred forty million, four hundred twenty-six thousand, three hundred twenty".