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2979408321 = 3217149130693
BaseRepresentation
bin1011000110010110…
…0010100111000001
321200122021121212100
42301211202213001
522100212031241
61211351021013
7133555360431
oct26145424701
97618247770
102979408321
11129988662a
126b196a769
13386354a06
142039a62c1
151268779b6
hexb19629c1

2979408321 has 24 divisors (see below), whose sum is σ = 4587359400. Its totient is φ = 1856871936.

The previous prime is 2979408319. The next prime is 2979408323. The reversal of 2979408321 is 1238049792.

It is an interprime number because it is at equal distance from previous prime (2979408319) and next prime (2979408323).

It can be written as a sum of positive squares in 4 ways, for example, as 678863025 + 2300545296 = 26055^2 + 47964^2 .

It is not a de Polignac number, because 2979408321 - 21 = 2979408319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2979408323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42550 + ... + 88143.

It is an arithmetic number, because the mean of its divisors is an integer number (191139975).

Almost surely, 22979408321 is an apocalyptic number.

It is an amenable number.

2979408321 is a deficient number, since it is larger than the sum of its proper divisors (1607951079).

2979408321 is a wasteful number, since it uses less digits than its factorization.

2979408321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130865 (or 130862 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2979408321 is about 54583.9566264667. The cubic root of 2979408321 is about 1438.9421759483.

The spelling of 2979408321 in words is "two billion, nine hundred seventy-nine million, four hundred eight thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 149 153 447 1341 2533 7599 22797 130693 392079 1176237 2221781 6665343 19473257 19996029 58419771 175259313 331045369 993136107 2979408321