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996327432 = 2333172347251
BaseRepresentation
bin111011011000101…
…100000000001000
32120102202200022000
4323120230000020
54020024434212
6242510431000
733455433462
oct7330540010
92512680260
10996327432
11471445601
12239802460
1312b552679
1496473132
155c7081dc
hex3b62c008

996327432 has 256 divisors, whose sum is σ = 3135283200. Its totient is φ = 291456000.

The previous prime is 996327421. The next prime is 996327439. The reversal of 996327432 is 234723699.

996327432 is a `hidden beast` number, since 9 + 9 + 632 + 7 + 4 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (996327439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3969307 + ... + 3969557.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2996327432 is an apocalyptic number.

996327432 is a gapful number since it is divisible by the number (92) 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 996327432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

996327432 is an abundant number, since it is smaller than the sum of its proper divisors (2138955768).

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

996327432 is a wasteful number, since it uses less digits than its factorization.

996327432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 996327432 is about 31564.6547898120. The cubic root of 996327432 is about 998.7743089619.

The spelling of 996327432 in words is "nine hundred ninety-six million, three hundred twenty-seven thousand, four hundred thirty-two".