Search a number
-
+
980441344 = 281921032
BaseRepresentation
bin111010011100000…
…101100100000000
32112022212120200101
4322130011210000
54001443110334
6241142132144
733203420401
oct7234054400
92468776611
10980441344
11463485103
12234421054
1312817c90c
14942d99a8
155b11b214
hex3a705900

980441344 has 81 divisors (see below), whose sum is σ = 2085724683. Its totient is φ = 459910656.

The previous prime is 980441311. The next prime is 980441347. The reversal of 980441344 is 443144089.

It is a happy number.

The square root of 980441344 is 31312.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×9804413442 = 1922530458049052672, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (980441347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9518797 + ... + 9518899.

Almost surely, 2980441344 is an apocalyptic number.

980441344 is the 31312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980441344

980441344 is an abundant number, since it is smaller than the sum of its proper divisors (1105283339).

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

980441344 is an equidigital number, since it uses as much as digits as its factorization.

980441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The cubic root of 980441344 is about 993.4374754808.

The spelling of 980441344 in words is "nine hundred eighty million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 103 128 152 206 256 304 361 412 608 722 824 1216 1444 1648 1957 2432 2888 3296 3914 4864 5776 6592 7828 10609 11552 13184 15656 21218 23104 26368 31312 37183 42436 46208 62624 74366 84872 92416 125248 148732 169744 201571 250496 297464 339488 403142 500992 594928 678976 806284 1189856 1357952 1612568 2379712 2715904 3225136 3829849 4759424 6450272 7659698 9518848 12900544 15319396 25801088 30638792 51602176 61277584 122555168 245110336 490220672 980441344