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2940358680 = 23325721931283
BaseRepresentation
bin1010111101000010…
…0101000000011000
321120220210200211100
42233100211000120
522010212434210
61203434031400
7132602431200
oct25720450030
97526720740
102940358680
111279834aa6
126a0878560
1337b23190c
141dc71d400
151232125c0
hexaf425018

2940358680 has 576 divisors, whose sum is σ = 12121574400. Its totient is φ = 613992960.

The previous prime is 2940358657. The next prime is 2940358703. The reversal of 2940358680 is 868530492.

2940358680 is a `hidden beast` number, since 29 + 40 + 3 + 586 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2940358657) and next prime (2940358703).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10389819 + ... + 10390101.

It is an arithmetic number, because the mean of its divisors is an integer number (21044400).

Almost surely, 22940358680 is an apocalyptic number.

2940358680 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 2940358680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060787200).

2940358680 is an abundant number, since it is smaller than the sum of its proper divisors (9181215720).

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

2940358680 is a wasteful number, since it uses less digits than its factorization.

2940358680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2940358680 is about 54225.0742738081. The cubic root of 2940358680 is about 1432.6280067989.

The spelling of 2940358680 in words is "two billion, nine hundred forty million, three hundred fifty-eight thousand, six hundred eighty".