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982340664 = 2332971103193
BaseRepresentation
bin111010100011010…
…101010000111000
32112110110002001120
4322203111100320
54002434400124
6241250545240
733225520644
oct7243252070
92473402046
10982340664
11464562098
12234b98220
13128696286
1494671c24
155b393d79
hex3a8d5438

982340664 has 128 divisors (see below), whose sum is σ = 2614809600. Its totient is φ = 307077120.

The previous prime is 982340659. The next prime is 982340687. The reversal of 982340664 is 466043289.

It is a happy number.

It is a congruent number.

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, 5089752 + ... + 5089944.

It is an arithmetic number, because the mean of its divisors is an integer number (20428200).

Almost surely, 2982340664 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 982340664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307404800).

982340664 is an abundant number, since it is smaller than the sum of its proper divisors (1632468936).

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

982340664 is a wasteful number, since it uses less digits than its factorization.

982340664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 982340664 is about 31342.3142731994. The cubic root of 982340664 is about 994.0785604288.

The spelling of 982340664 in words is "nine hundred eighty-two million, three hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 71 87 103 116 142 174 193 206 213 232 284 309 348 386 412 426 568 579 618 696 772 824 852 1158 1236 1544 1704 2059 2316 2472 2987 4118 4632 5597 5974 6177 7313 8236 8961 11194 11948 12354 13703 14626 16472 16791 17922 19879 21939 22388 23896 24708 27406 29252 33582 35844 39758 41109 43878 44776 49416 54812 58504 59637 67164 71688 79516 82218 87756 109624 119274 134328 159032 164436 175512 212077 238548 328872 397387 424154 477096 576491 636231 794774 848308 1152982 1192161 1272462 1411409 1589548 1696616 1729473 2305964 2384322 2544924 2822818 3179096 3458946 4234227 4611928 4768644 5089848 5645636 6917892 8468454 9537288 11291272 13835784 16936908 33873816 40930861 81861722 122792583 163723444 245585166 327446888 491170332 982340664