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980343672 = 2337114711287
BaseRepresentation
bin111010011011101…
…101101101111000
32112022200121200220
4322123231231320
54001431444142
6241140100040
733202532550
oct7233555570
92468617626
10980343672
11463418790
12234394620
13128147319
14942b2160
155b0ec2ec
hex3a6edb78

980343672 has 128 divisors (see below), whose sum is σ = 3120906240. Its totient is φ = 249194880.

The previous prime is 980343667. The next prime is 980343691. The reversal of 980343672 is 276343089.

It is a super-2 number, since 2×9803436722 = 1922147430460887168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81213 + ... + 92499.

It is an arithmetic number, because the mean of its divisors is an integer number (24382080).

Almost surely, 2980343672 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 980343672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560453120).

980343672 is an abundant number, since it is smaller than the sum of its proper divisors (2140562568).

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

980343672 is a wasteful number, since it uses less digits than its factorization.

980343672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 980343672 is about 31310.4403035154. The cubic root of 980343672 is about 993.4044854918.

The spelling of 980343672 in words is "nine hundred eighty million, three hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 47 56 66 77 84 88 94 132 141 154 168 188 231 264 282 308 329 376 462 517 564 616 658 924 987 1034 1128 1316 1551 1848 1974 2068 2632 3102 3619 3948 4136 6204 7238 7896 10857 11287 12408 14476 21714 22574 28952 33861 43428 45148 67722 79009 86856 90296 124157 135444 158018 237027 248314 270888 316036 372471 474054 496628 530489 632072 744942 869099 948108 993256 1060978 1489884 1591467 1738198 1896216 2121956 2607297 2979768 3182934 3476396 3713423 4243912 5214594 5835379 6365868 6952792 7426846 10429188 11140269 11670758 12731736 14853692 17506137 20858376 22280538 23341516 29707384 35012274 40847653 44561076 46683032 70024548 81695306 89122152 122542959 140049096 163390612 245085918 326781224 490171836 980343672