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3122327040 = 2935728297
BaseRepresentation
bin1011101000011010…
…1110111000000000
322001121012122111020
42322012232320000
522343303431130
61233454145440
7140242225200
oct27206567000
98047178436
103122327040
111362521578
127317b2280
133a9b446c1
1421896a400
151341a8e10
hexba1aee00

3122327040 has 240 divisors, whose sum is σ = 11612752272. Its totient is φ = 713588736.

The previous prime is 3122327017. The next prime is 3122327053. The reversal of 3122327040 is 407232213.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×31223270402 = 19497852289430323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3122327040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372172 + ... + 380468.

Almost surely, 23122327040 is an apocalyptic number.

3122327040 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 3122327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806376136).

3122327040 is an abundant number, since it is smaller than the sum of its proper divisors (8490425232).

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

3122327040 is an equidigital number, since it uses as much as digits as its factorization.

3122327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3122327040 is about 55877.7866419206. The cubic root of 3122327040 is about 1461.5919084709.

Adding to 3122327040 its reverse (407232213), we get a palindrome (3529559253).

The spelling of 3122327040 in words is "three billion, one hundred twenty-two million, three hundred twenty-seven thousand, forty".