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3301138932 = 2237137973793
BaseRepresentation
bin1100010011000011…
…0110000111110100
322112001200020021220
43010300312013310
523230042421212
61303322510340
7144543134520
oct30460660764
98461606256
103301138932
1114444525a3
127816653b0
13407bc0860
142345d4d80
15144c2a38c
hexc4c361f4

3301138932 has 96 divisors (see below), whose sum is σ = 9494591232. Its totient is φ = 869308416.

The previous prime is 3301138909. The next prime is 3301138937. The reversal of 3301138932 is 2398311033.

It is a super-2 number, since 2×33011389322 = 21795036496732201248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3301138893 and 3301138902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301138937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868428 + ... + 872220.

It is an arithmetic number, because the mean of its divisors is an integer number (98901992).

Almost surely, 23301138932 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 3301138932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747295616).

3301138932 is an abundant number, since it is smaller than the sum of its proper divisors (6193452300).

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

3301138932 is a wasteful number, since it uses less digits than its factorization.

3301138932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3301138932 is about 57455.5387408386. The cubic root of 3301138932 is about 1488.9768108579.

Adding to 3301138932 its reverse (2398311033), we get a palindrome (5699449965).

The spelling of 3301138932 in words is "three billion, three hundred one million, one hundred thirty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 797 1092 1594 2391 3188 3793 4782 5579 7586 9564 10361 11158 11379 15172 16737 20722 22316 22758 26551 31083 33474 41444 45516 49309 53102 62166 66948 72527 79653 98618 106204 124332 145054 147927 159306 197236 217581 290108 295854 318612 345163 435162 591708 690326 870324 1035489 1380652 2070978 3023021 4141956 6046042 9069063 12092084 18138126 21161147 36276252 39299273 42322294 63483441 78598546 84644588 117897819 126966882 157197092 235795638 253933764 275094911 471591276 550189822 825284733 1100379644 1650569466 3301138932