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1684916442 = 2321147331547
BaseRepresentation
bin110010001101101…
…1100100011011010
311100102110121211200
41210123130203122
511422314311232
6435105335030
756516360556
oct14433344332
94312417750
101684916442
11795100730
123b0337476
1320b0c7ba1
1411daba866
159cdc477c
hex646dc8da

1684916442 has 96 divisors (see below), whose sum is σ = 4087010304. Its totient is φ = 497296800.

The previous prime is 1684916423. The next prime is 1684916459. The reversal of 1684916442 is 2446194861.

1684916442 is a `hidden beast` number, since 1 + 68 + 491 + 64 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3080013 + ... + 3080559.

It is an arithmetic number, because the mean of its divisors is an integer number (42573024).

Almost surely, 21684916442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684916442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043505152).

1684916442 is an abundant number, since it is smaller than the sum of its proper divisors (2402093862).

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

1684916442 is a wasteful number, since it uses less digits than its factorization.

1684916442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 941 counting only the distinct ones).

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

The square root of 1684916442 is about 41047.7337011436. The cubic root of 1684916442 is about 1189.9429019517.

The spelling of 1684916442 in words is "one billion, six hundred eighty-four million, nine hundred sixteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 331 423 517 547 662 846 993 1034 1094 1551 1641 1986 2979 3102 3282 3641 4653 4923 5958 6017 7282 9306 9846 10923 12034 15557 18051 21846 25709 31114 32769 36102 46671 51418 54153 65538 77127 93342 108306 140013 154254 171127 181057 231381 280026 282799 342254 362114 462762 513381 543171 565598 848397 1026762 1086342 1540143 1629513 1696794 1991627 2545191 3080286 3259026 3983254 5090382 5974881 8509679 11949762 17019358 17924643 25529037 35849286 51058074 76587111 93606469 153174222 187212938 280819407 561638814 842458221 1684916442