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3369366 = 23271121317
BaseRepresentation
bin1100110110100110010110
320100011220100
430312212112
51330304431
6200114530
740432140
oct14664626
96304810
103369366
1119a1500
121165a46
1390c810
14639c90
154684e6
hex336996

3369366 has 144 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 760320.

The previous prime is 3369347. The next prime is 3369367. The reversal of 3369366 is 6639633.

3369366 = 1702 + 1712 + ... + 2462.

It is a super-2 number, since 2×33693662 = 22705254483912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 34 + 37 + 64 + 9 + 38 + 68 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3369366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3369367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198190 + ... + 198206.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

Almost surely, 23369366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3369366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3369366 is an abundant number, since it is smaller than the sum of its proper divisors (7087626).

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

3369366 is a wasteful number, since it uses less digits than its factorization.

3369366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 3369366 is about 1835.5832860429. The cubic root of 3369366 is about 149.9164868456.

The spelling of 3369366 in words is "three million, three hundred sixty-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 13 14 17 18 21 22 26 33 34 39 42 51 63 66 77 78 91 99 102 117 119 121 126 143 153 154 182 187 198 221 231 234 238 242 273 286 306 357 363 374 429 442 462 546 561 663 693 714 726 819 847 858 1001 1071 1089 1122 1287 1309 1326 1386 1547 1573 1638 1683 1694 1989 2002 2057 2142 2178 2431 2541 2574 2618 3003 3094 3146 3366 3927 3978 4114 4641 4719 4862 5082 6006 6171 7293 7623 7854 9009 9282 9438 11011 11781 12342 13923 14157 14399 14586 15246 17017 18018 18513 21879 22022 23562 26741 27846 28314 28798 33033 34034 37026 43197 43758 51051 53482 66066 80223 86394 99099 102102 129591 153153 160446 187187 198198 240669 259182 306306 374374 481338 561561 1123122 1684683 3369366