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996335424 = 263373412
BaseRepresentation
bin111011011000101…
…101111101000000
32120102210002021000
4323120231331000
54020030213144
6242510532000
733455466000
oct7330557500
92512702230
10996335424
11471450607
12239807000
1312b5561b6
1496476000
155c70a769
hex3b62df40

996335424 has 336 divisors, whose sum is σ = 3501136000. Its totient is φ = 277724160.

The previous prime is 996335423. The next prime is 996335429. The reversal of 996335424 is 424533699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

996335424 is a `hidden beast` number, since 9 + 9 + 633 + 5 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 996335424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996335423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24300844 + ... + 24300884.

Almost surely, 2996335424 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 996335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750568000).

996335424 is an abundant number, since it is smaller than the sum of its proper divisors (2504800576).

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

996335424 is an equidigital number, since it uses as much as digits as its factorization.

996335424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 53 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 996335424 is about 31564.7813868558. The cubic root of 996335424 is about 998.7769794973.

The spelling of 996335424 in words is "nine hundred ninety-six million, three hundred thirty-five thousand, four hundred twenty-four".