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6341980428 = 2233727116879
BaseRepresentation
bin1011110100000001…
…01111000100001100
3121100222112222122000
411322000233010030
5100442021333203
62525150352300
7313105641600
oct57200570414
917328488560
106341980428
112764978843
12128babb690
137a0ba4954
144423cd500
15271b8a4a3
hex17a02f10c

6341980428 has 144 divisors (see below), whose sum is σ = 19397145600. Its totient is φ = 1786367520.

The previous prime is 6341980397. The next prime is 6341980429. The reversal of 6341980428 is 8240891436.

It is a happy number.

6341980428 is a `hidden beast` number, since 6 + 34 + 198 + 0 + 428 = 666.

It is not an unprimeable number, because it can be changed into a prime (6341980429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367293 + ... + 384171.

It is an arithmetic number, because the mean of its divisors is an integer number (134702400).

Almost surely, 26341980428 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 6341980428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698572800).

6341980428 is an abundant number, since it is smaller than the sum of its proper divisors (13055165172).

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

6341980428 is a wasteful number, since it uses less digits than its factorization.

6341980428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16977 (or 16962 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6341980428 is about 79636.5520850821. The cubic root of 6341980428 is about 1851.0080143813.

The spelling of 6341980428 in words is "six billion, three hundred forty-one million, nine hundred eighty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 71 84 98 108 126 142 147 189 196 213 252 284 294 378 426 441 497 588 639 756 852 882 994 1278 1323 1491 1764 1917 1988 2556 2646 2982 3479 3834 4473 5292 5964 6958 7668 8946 10437 13419 13916 16879 17892 20874 26838 31311 33758 41748 50637 53676 62622 67516 93933 101274 118153 125244 151911 187866 202548 236306 303822 354459 375732 455733 472612 607644 708918 827071 911466 1063377 1198409 1417836 1654142 1822932 2126754 2396818 2481213 3190131 3308284 3595227 4253508 4793636 4962426 6380262 7190454 7443639 8388863 9924852 10785681 12760524 14380908 14887278 16777726 21571362 22330917 25166589 29774556 32357043 33555452 43142724 44661834 50333178 58722041 64714086 75499767 89323668 100666356 117444082 129428172 150999534 176166123 226499301 234888164 301999068 352332246 452998602 528498369 704664492 905997204 1056996738 1585495107 2113993476 3170990214 6341980428