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990434280 = 233511171923101
BaseRepresentation
bin111011000010001…
…101001111101000
32120000200021102010
4323002031033220
54012022344110
6242140235520
733354360333
oct7302151750
92500607363
10990434280
1146908aa30
1223783bba0
1312a26b1b4
149577b61a
155be42020
hex3b08d3e8

990434280 has 512 divisors, whose sum is σ = 3807129600. Its totient is φ = 202752000.

The previous prime is 990434279. The next prime is 990434329. The reversal of 990434280 is 82434099.

990434280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9806230 + ... + 9806330.

It is an arithmetic number, because the mean of its divisors is an integer number (7435800).

Almost surely, 2990434280 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 990434280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903564800).

990434280 is an abundant number, since it is smaller than the sum of its proper divisors (2816695320).

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

990434280 is a wasteful number, since it uses less digits than its factorization.

990434280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 990434280 is about 31471.1658506640. The cubic root of 990434280 is about 996.8012052894.

The spelling of 990434280 in words is "nine hundred ninety million, four hundred thirty-four thousand, two hundred eighty".