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990474240 = 212357347
BaseRepresentation
bin111011000010010…
…111000000000000
32120000202022020010
4323002113000000
54012030133430
6242141144520
733354615000
oct7302270000
92500668203
10990474240
11469107a58
1223785b140
1312a283442
149578c000
155be4dcb0
hex3b097000

990474240 has 416 divisors, whose sum is σ = 3774412800. Its totient is φ = 221577216.

The previous prime is 990474197. The next prime is 990474257. The reversal of 990474240 is 42474099.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21073897 + ... + 21073943.

Almost surely, 2990474240 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 990474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887206400).

990474240 is an abundant number, since it is smaller than the sum of its proper divisors (2783938560).

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

990474240 is an equidigital number, since it uses as much as digits as its factorization.

990474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 990474240 is about 31471.8007111128. The cubic root of 990474240 is about 996.8146107356.

The spelling of 990474240 in words is "nine hundred ninety million, four hundred seventy-four thousand, two hundred forty".