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642294684 = 22354171227
BaseRepresentation
bin100110010010001…
…010001110011100
31122202120221200000
4212102022032130
52303411412214
6143422334300
721626262153
oct4622121634
91582527600
10642294684
112aa616559
1215b12a390
13a30b6a35
146143659a
153b5c4809
hex2648a39c

642294684 has 144 divisors (see below), whose sum is σ = 1756774656. Its totient is φ = 205027200.

The previous prime is 642294641. The next prime is 642294691. The reversal of 642294684 is 486492246.

It is a super-2 number, since 2×6422946842 = 825084922189319712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829379 + ... + 2829605.

It is an arithmetic number, because the mean of its divisors is an integer number (12199824).

Almost surely, 2642294684 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 642294684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

642294684 is an abundant number, since it is smaller than the sum of its proper divisors (1114479972).

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

642294684 is a wasteful number, since it uses less digits than its factorization.

642294684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 642294684 is about 25343.5333763862. The cubic root of 642294684 is about 862.8025947721.

The spelling of 642294684 in words is "six hundred forty-two million, two hundred ninety-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 71 81 82 108 123 142 162 164 213 227 243 246 284 324 369 426 454 486 492 639 681 738 852 908 972 1107 1278 1362 1476 1917 2043 2214 2556 2724 2911 3321 3834 4086 4428 5751 5822 6129 6642 7668 8172 8733 9307 9963 11502 11644 12258 13284 16117 17253 17466 18387 18614 19926 23004 24516 26199 27921 32234 34506 34932 36774 37228 39852 48351 52398 55161 55842 64468 69012 73548 78597 83763 96702 104796 110322 111684 145053 157194 167526 193404 220644 235791 251289 290106 314388 335052 435159 471582 502578 580212 660797 707373 753867 870318 943164 1005156 1305477 1321594 1414746 1507734 1740636 1982391 2261601 2610954 2643188 2829492 3015468 3916431 3964782 4523202 5221908 5947173 7832862 7929564 9046404 11894346 15665724 17841519 23788692 35683038 53524557 71366076 107049114 160573671 214098228 321147342 642294684