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996362640 = 2433571337137
BaseRepresentation
bin111011011000110…
…100100110010000
32120102211110121000
4323120310212100
54020032101030
6242511302000
733455641230
oct7330644620
92512743530
10996362640
11471469aa9
1223981a900
1312b5656c0
1496481cc0
155c713860
hex3b634990

996362640 has 640 divisors, whose sum is σ = 4369720320. Its totient is φ = 203046912.

The previous prime is 996362623. The next prime is 996362669. The reversal of 996362640 is 46263699.

996362640 is a `hidden beast` number, since 9 + 9 + 636 + 2 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7272652 + ... + 7272788.

It is an arithmetic number, because the mean of its divisors is an integer number (6827688).

Almost surely, 2996362640 is an apocalyptic number.

996362640 is a gapful number since it is divisible by the number (90) 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 996362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184860160).

996362640 is an abundant number, since it is smaller than the sum of its proper divisors (3373357680).

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

996362640 is a wasteful number, since it uses less digits than its factorization.

996362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 996362640 is about 31565.2124973047. The cubic root of 996362640 is about 998.7860736458.

The spelling of 996362640 in words is "nine hundred ninety-six million, three hundred sixty-two thousand, six hundred forty".