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9830440 = 235534637
BaseRepresentation
bin100101100000…
…000000101000
3200111102211101
4211200000220
510004033230
6550411144
7146362114
oct45400050
920442741
109830440
115604834
123360ab4
132062639
14143c744
15ce2aca
hex960028

9830440 has 32 divisors (see below), whose sum is σ = 22540680. Its totient is φ = 3857152.

The previous prime is 9830413. The next prime is 9830459. The reversal of 9830440 is 440389.

It can be written as a sum of positive squares in 4 ways, for example, as 7739524 + 2090916 = 2782^2 + 1446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9830399 and 9830408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 4438.

Almost surely, 29830440 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 9830440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270340).

9830440 is an abundant number, since it is smaller than the sum of its proper divisors (12710240).

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

9830440 is a wasteful number, since it uses less digits than its factorization.

9830440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 9830440 is about 3135.3532496355. The cubic root of 9830440 is about 214.2188345784.

The spelling of 9830440 in words is "nine million, eight hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 4637 9274 18548 23185 37096 46370 92740 185480 245761 491522 983044 1228805 1966088 2457610 4915220 9830440