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3320100252 = 22357269709
BaseRepresentation
bin1100010111100100…
…1011010110011100
322120101100120100000
43011321023112130
523244421202002
61305241134300
7145163246400
oct30571132634
98511316300
103320100252
111454123507
12787a8a390
1340bacc281
14236d2d100
1514672361c
hexc5e4b59c

3320100252 has 108 divisors (see below), whose sum is σ = 10124401560. Its totient is φ = 948586464.

The previous prime is 3320100247. The next prime is 3320100271. The reversal of 3320100252 is 2520010233.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×33201002522 = 22046131366660927008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12774 + ... + 82482.

Almost surely, 23320100252 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 3320100252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062200780).

3320100252 is an abundant number, since it is smaller than the sum of its proper divisors (6804301308).

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

3320100252 is a wasteful number, since it uses less digits than its factorization.

3320100252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69742 (or 69721 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3320100252 is about 57620.3111064146. The cubic root of 3320100252 is about 1491.8222007555.

Adding to 3320100252 its reverse (2520010233), we get a palindrome (5840110485).

The spelling of 3320100252 in words is "three billion, three hundred twenty million, one hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7938 11907 15876 23814 47628 69709 139418 209127 278836 418254 487963 627381 836508 975926 1254762 1463889 1882143 1951852 2509524 2927778 3415741 3764286 4391667 5646429 5855556 6831482 7528572 8783334 10247223 11292858 13175001 13662964 16939287 17566668 20494446 22585716 26350002 30741669 33878574 39525003 40988892 52700004 61483338 67757148 79050006 92225007 118575009 122966676 158100012 184450014 237150018 276675021 368900028 474300036 553350042 830025063 1106700084 1660050126 3320100252