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980343648 = 2535139907
BaseRepresentation
bin111010011011101…
…101101101100000
32112022200121200000
4322123231231200
54001431444043
6241140100000
733202532514
oct7233555540
92468617600
10980343648
11463418769
12234394600
131281472cb
14942b2144
155b0ec2d3
hex3a6edb60

980343648 has 144 divisors (see below), whose sum is σ = 2915115840. Its totient is φ = 324072576.

The previous prime is 980343643. The next prime is 980343649. The reversal of 980343648 is 846343089.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9803436482 = 1922147336347895808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980343643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080411 + ... + 1081317.

It is an arithmetic number, because the mean of its divisors is an integer number (20243860).

Almost surely, 2980343648 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 980343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457557920).

980343648 is an abundant number, since it is smaller than the sum of its proper divisors (1934772192).

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

980343648 is a wasteful number, since it uses less digits than its factorization.

980343648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 980343648 is about 31310.4399202566. The cubic root of 980343648 is about 993.4044773852.

The spelling of 980343648 in words is "nine hundred eighty million, three hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 139 144 162 216 243 278 288 324 417 432 486 556 648 834 864 907 972 1112 1251 1296 1668 1814 1944 2224 2502 2592 2721 3336 3628 3753 3888 4448 5004 5442 6672 7256 7506 7776 8163 10008 10884 11259 13344 14512 15012 16326 20016 21768 22518 24489 29024 30024 32652 33777 40032 43536 45036 48978 60048 65304 67554 73467 87072 90072 97956 120096 126073 130608 135108 146934 180144 195912 220401 252146 261216 270216 293868 360288 378219 391824 440802 504292 540432 587736 756438 783648 881604 1008584 1080864 1134657 1175472 1512876 1763208 2017168 2269314 2350944 3025752 3403971 3526416 4034336 4538628 6051504 6807942 7052832 9077256 10211913 12103008 13615884 18154512 20423826 27231768 30635739 36309024 40847652 54463536 61271478 81695304 108927072 122542956 163390608 245085912 326781216 490171824 980343648