Search a number
-
+
638374338 = 233723101727
BaseRepresentation
bin100110000011001…
…101000111000010
31122111012202222000
4212003031013002
52301410434323
6143202324430
721551043450
oct4603150702
91574182860
10638374338
112a83890a8
12159959716
13a23434c4
1460ad59d0
153b09ce43
hex260cd1c2

638374338 has 128 divisors (see below), whose sum is σ = 1710858240. Its totient is φ = 172497600.

The previous prime is 638374337. The next prime is 638374339. The reversal of 638374338 is 833473836.

638374338 is a `hidden beast` number, since 638 + 3 + 7 + 4 + 3 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (638374337) and next prime (638374339).

It is a junction number, because it is equal to n+sod(n) for n = 638374293 and 638374302.

It is not an unprimeable number, because it can be changed into a prime (638374337) 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, 877731 + ... + 878457.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 2638374338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638374338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

638374338 is an abundant number, since it is smaller than the sum of its proper divisors (1072483902).

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

638374338 is a wasteful number, since it uses less digits than its factorization.

638374338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 638374338 is about 25266.0708856759. The cubic root of 638374338 is about 861.0435942914.

The spelling of 638374338 in words is "six hundred thirty-eight million, three hundred seventy-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 101 126 138 161 189 202 207 303 322 378 414 483 606 621 707 727 909 966 1242 1414 1449 1454 1818 2121 2181 2323 2727 2898 4242 4347 4362 4646 5089 5454 6363 6543 6969 8694 10178 12726 13086 13938 15267 16261 16721 19089 19629 20907 30534 32522 33442 38178 39258 41814 45801 48783 50163 62721 73427 91602 97566 100326 117047 125442 137403 146349 146854 150489 220281 234094 274806 292698 300978 351141 439047 440562 451467 513989 660843 702282 878094 902934 1027978 1053423 1321686 1541967 1688821 1982529 2106846 3083934 3160269 3377642 3965058 4625901 5066463 6320538 9251802 10132926 11821747 13877703 15199389 23643494 27755406 30398778 35465241 45598167 70930482 91196334 106395723 212791446 319187169 638374338