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990440304 = 24373378747
BaseRepresentation
bin111011000010001…
…110101101110000
32120000200120200020
4323002032231300
54012023042204
6242140323440
733354414030
oct7302165560
92500616606
10990440304
11469094507
12237843580
1312a270b69
149577d8c0
155be43bd9
hex3b08eb70

990440304 has 80 divisors (see below), whose sum is σ = 2933169408. Its totient is φ = 282110976.

The previous prime is 990440299. The next prime is 990440357. The reversal of 990440304 is 403044099.

It is a happy number.

990440304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9904403042 = 1961943991575224832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108859 + ... + 117605.

Almost surely, 2990440304 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 990440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466584704).

990440304 is an abundant number, since it is smaller than the sum of its proper divisors (1942729104).

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

990440304 is a wasteful number, since it uses less digits than its factorization.

990440304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 990440304 is about 31471.2615571731. The cubic root of 990440304 is about 996.8032261936.

The spelling of 990440304 in words is "nine hundred ninety million, four hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 337 674 1011 1348 2022 2359 2696 4044 4718 5392 7077 8088 8747 9436 14154 16176 17494 18872 26241 28308 34988 37744 52482 56616 61229 69976 104964 113232 122458 139952 183687 209928 244916 367374 419856 489832 734748 979664 1469496 2938992 2947739 5895478 8843217 11790956 17686434 20634173 23581912 35372868 41268346 47163824 61902519 70745736 82536692 123805038 141491472 165073384 247610076 330146768 495220152 990440304