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997040352 = 2537111931229
BaseRepresentation
bin111011011011011…
…010000011100000
32120111002220020110
4323123122003200
54020220242402
6242534011320
733464463120
oct7333320340
92514086213
10997040352
114718921a0
12239aa6b40
1312b742009
14965bac80
155c7e956c
hex3b6da0e0

997040352 has 384 divisors, whose sum is σ = 3561062400. Its totient is φ = 236390400.

The previous prime is 997040339. The next prime is 997040353. The reversal of 997040352 is 253040799.

997040352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 997040352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997040353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353774 + ... + 4354002.

It is an arithmetic number, because the mean of its divisors is an integer number (9273600).

Almost surely, 2997040352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780531200).

997040352 is an abundant number, since it is smaller than the sum of its proper divisors (2564022048).

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

997040352 is a wasteful number, since it uses less digits than its factorization.

997040352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 997040352 is about 31575.9457815597. The cubic root of 997040352 is about 999.0124757836.

The spelling of 997040352 in words is "nine hundred ninety-seven million, forty thousand, three hundred fifty-two".