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2957996340 = 22335132111997
BaseRepresentation
bin1011000001001111…
…0111000100110100
321122010222210011000
42300103313010310
522024221340330
61205304043300
7133205361015
oct26023670464
97563883130
102957996340
111288791482
126a6763530
13381a989c0
14200bd100c
15124a48560
hexb04f7134

2957996340 has 192 divisors, whose sum is σ = 9962507520. Its totient is φ = 724308480.

The previous prime is 2957996267. The next prime is 2957996357. The reversal of 2957996340 is 436997592.

2957996340 is a `hidden beast` number, since 2 + 9 + 579 + 9 + 63 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1480222 + ... + 1482218.

It is an arithmetic number, because the mean of its divisors is an integer number (51888060).

Almost surely, 22957996340 is an apocalyptic number.

2957996340 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 2957996340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981253760).

2957996340 is an abundant number, since it is smaller than the sum of its proper divisors (7004511180).

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

2957996340 is a wasteful number, since it uses less digits than its factorization.

2957996340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 2957996340 is about 54387.4649160999. The cubic root of 2957996340 is about 1435.4868246722.

The spelling of 2957996340 in words is "two billion, nine hundred fifty-seven million, nine hundred ninety-six thousand, three hundred forty".