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3992344104 = 2337376110529
BaseRepresentation
bin1110110111110110…
…0101011000101000
3101022020022002112110
43231331211120220
531134020002404
61500053442320
7200635236120
oct35575453050
911266262473
103992344104
111769635241
129350403a0
134b8170ab8
1429c31dc80
15185761b89
hexedf65628

3992344104 has 128 divisors (see below), whose sum is σ = 11908166400. Its totient is φ = 1091543040.

The previous prime is 3992344099. The next prime is 3992344123. The reversal of 3992344104 is 4014432993.

It is a super-2 number, since 2×39923441042 = 31877622889487125632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373912 + ... + 384440.

It is an arithmetic number, because the mean of its divisors is an integer number (93032550).

Almost surely, 23992344104 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 3992344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954083200).

3992344104 is an abundant number, since it is smaller than the sum of its proper divisors (7915822296).

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

3992344104 is a wasteful number, since it uses less digits than its factorization.

3992344104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10643 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3992344104 is about 63184.9990424943. Note that the first 3 decimals coincide. The cubic root of 3992344104 is about 1586.3876570421.

The spelling of 3992344104 in words is "three billion, nine hundred ninety-two million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 61 74 84 111 122 148 168 183 222 244 259 296 366 427 444 488 518 732 777 854 888 1036 1281 1464 1554 1708 2072 2257 2562 3108 3416 4514 5124 6216 6771 9028 10248 10529 13542 15799 18056 21058 27084 31587 31598 42116 47397 54168 63174 63196 73703 84232 94794 126348 126392 147406 189588 221109 252696 294812 379176 389573 442218 589624 642269 779146 884436 1168719 1284538 1558292 1768872 1926807 2337438 2569076 2727011 3116584 3853614 4495883 4674876 5138152 5454022 7707228 8181033 8991766 9349752 10908044 13487649 15414456 16362066 17983532 21816088 23763953 26975298 32724132 35967064 47527906 53950596 65448264 71291859 95055812 107901192 142583718 166347671 190111624 285167436 332695342 499043013 570334872 665390684 998086026 1330781368 1996172052 3992344104