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2949793344 = 2632312732
BaseRepresentation
bin1010111111010010…
…0100011001000000
321121120120000202100
42233310210121000
522020121341334
61204412150400
7133045554411
oct25764443100
97546500670
102949793344
111284099443
126a3a68400
13380186064
141dda97808
15123e77c99
hexafd24640

2949793344 has 189 divisors, whose sum is σ = 8857910529. Its totient is φ = 938511360.

The previous prime is 2949793321. The next prime is 2949793349. The reversal of 2949793344 is 4433979492.

It is a happy number.

The square root of 2949793344 is 54312.

It is a perfect power (a square), and thus also a powerful number.

2949793344 is a `hidden beast` number, since 29 + 497 + 93 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1674446400 + 1275346944 = 40920^2 + 35712^2 .

It is not an unprimeable number, because it can be changed into a prime (2949793349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40408092 + ... + 40408164.

Almost surely, 22949793344 is an apocalyptic number.

2949793344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2949793344 is the 54312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949793344

2949793344 is an abundant number, since it is smaller than the sum of its proper divisors (5908117185).

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

2949793344 is an equidigital number, since it uses as much as digits as its factorization.

2949793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 109 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The cubic root of 2949793344 is about 1434.1586514711.

The spelling of 2949793344 in words is "two billion, nine hundred forty-nine million, seven hundred ninety-three thousand, three hundred forty-four".