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642342080 = 26541173283
BaseRepresentation
bin100110010010010…
…101110011000000
31122202200100200102
4212102111303000
52303414421310
6143423341532
721626550302
oct4622256300
91582610612
10642342080
112aa649126
1215b1518a8
13a3102493
1461449972
153b5d38a5
hex26495cc0

642342080 has 112 divisors (see below), whose sum is σ = 1581509664. Its totient is φ = 248340480.

The previous prime is 642342067. The next prime is 642342097. The reversal of 642342080 is 80243246.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2269619 + ... + 2269901.

It is an arithmetic number, because the mean of its divisors is an integer number (14120622).

Almost surely, 2642342080 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 642342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790754832).

642342080 is an abundant number, since it is smaller than the sum of its proper divisors (939167584).

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

642342080 is a wasteful number, since it uses less digits than its factorization.

642342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 642342080 is about 25344.4684300145. The cubic root of 642342080 is about 862.8238167994.

The spelling of 642342080 in words is "six hundred forty-two million, three hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 173 205 283 320 328 346 410 566 656 692 820 865 1132 1312 1384 1415 1640 1730 2264 2624 2768 2830 3280 3460 4528 5536 5660 6560 6920 7093 9056 11072 11320 11603 13120 13840 14186 18112 22640 23206 27680 28372 35465 45280 46412 48959 55360 56744 58015 70930 90560 92824 97918 113488 116030 141860 185648 195836 226976 232060 244795 283720 371296 391672 453952 464120 489590 567440 742592 783344 928240 979180 1134880 1566688 1856480 1958360 2007319 2269760 3133376 3712960 3916720 4014638 7833440 8029276 10036595 15666880 16058552 20073190 32117104 40146380 64234208 80292760 128468416 160585520 321171040 642342080