Search a number
-
+
3372071682 = 2374753167193
BaseRepresentation
bin1100100011111101…
…1011101100000010
322201000010222201210
43020333123230002
523401222243212
61314335110550
7146364064530
oct31077335402
98630128653
103372071682
1114804a0401
127a1372456
134197c7ab5
1423dbbb150
1514b08c53c
hexc8fdbb02

3372071682 has 128 divisors (see below), whose sum is σ = 8109932544. Its totient is φ = 914853888.

The previous prime is 3372071671. The next prime is 3372071687. The reversal of 3372071682 is 2861702733.

It is a super-2 number, since 2×33720716822 = 22741734857092618248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3372071682.

It is not an unprimeable number, because it can be changed into a prime (3372071687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17471778 + ... + 17471970.

It is an arithmetic number, because the mean of its divisors is an integer number (63358848).

Almost surely, 23372071682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3372071682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054966272).

3372071682 is an abundant number, since it is smaller than the sum of its proper divisors (4737860862).

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

3372071682 is a wasteful number, since it uses less digits than its factorization.

3372071682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 3372071682 is about 58069.5417753576. The cubic root of 3372071682 is about 1499.5660495812.

The spelling of 3372071682 in words is "three billion, three hundred seventy-two million, seventy-one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 47 53 94 106 141 159 167 193 282 318 329 334 371 386 501 579 658 742 987 1002 1113 1158 1169 1351 1974 2226 2338 2491 2702 3507 4053 4982 7014 7473 7849 8106 8851 9071 10229 14946 15698 17437 17702 18142 20458 23547 26553 27213 30687 32231 34874 47094 52311 53106 54426 54943 61374 61957 63497 64462 71603 96693 104622 109886 123914 126994 143206 164829 185871 190491 193386 214809 225617 329658 371742 380982 415997 429618 451234 480763 676851 831994 961526 1247991 1353702 1442289 1514857 1708243 2495982 2884578 2911979 3029714 3365341 3416486 4544571 5124729 5823958 6730682 8735937 9089142 10096023 10249458 10603999 11957701 17471874 20192046 21207998 23915402 31811997 35873103 63623994 71746206 80287421 160574842 240862263 481724526 562011947 1124023894 1686035841 3372071682