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321434434090 = 25731144319231
BaseRepresentation
bin1001010110101101111…
…11000011101000101010
31010201200022121002122101
410223112333003220222
520231244203342330
6403355343244014
732136305416000
oct4532677035052
91121608532571
10321434434090
111143573a3940
12523678a960a
13244077502c3
14117b3b40a70
1585643224ca
hex4ad6fc3a2a

321434434090 has 128 divisors (see below), whose sum is σ = 737770291200. Its totient is φ = 99956001600.

The previous prime is 321434434081. The next prime is 321434434091. The reversal of 321434434090 is 90434434123.

It is not an unprimeable number, because it can be changed into a prime (321434434091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16704775 + ... + 16724005.

It is an arithmetic number, because the mean of its divisors is an integer number (5763830400).

Almost surely, 2321434434090 is an apocalyptic number.

321434434090 is an abundant number, since it is smaller than the sum of its proper divisors (416335857110).

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

321434434090 is a wasteful number, since it uses less digits than its factorization.

321434434090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19713 (or 19699 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 321434434090 in words is "three hundred twenty-one billion, four hundred thirty-four million, four hundred thirty-four thousand, ninety".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 343 385 443 490 539 686 770 886 1078 1715 2215 2695 3101 3430 3773 4430 4873 5390 6202 7546 9746 15505 18865 19231 21707 24365 31010 34111 37730 38462 43414 48730 68222 96155 108535 134617 151949 170555 192310 211541 217070 238777 269234 303898 341110 423082 477554 673085 759745 942319 1057705 1193885 1346170 1480787 1519490 1671439 1884638 2115410 2387770 2961574 3342878 4711595 6596233 7403935 8357195 8519333 9423190 10365509 13192466 14807870 16714390 17038666 20731018 32981165 42596665 51827545 59635331 65962330 72558563 85193330 93712663 103655090 119270662 145117126 187425326 298176655 362792815 417447317 468563315 596353310 655988641 725585630 834894634 937126630 1311977282 2087236585 2922131219 3279943205 4174473170 4591920487 5844262438 6559886410 9183840974 14610656095 22959602435 29221312190 32143443409 45919204870 64286886818 160717217045 321434434090