Search a number
-
+
3303260676 = 22343121032
BaseRepresentation
bin1100010011100011…
…1100001000000100
322112012200000210000
43010320330020010
523231113320201
61303440201300
7144600152412
oct30470741004
98465600700
103303260676
111445671701
12782309230
13408484521
142349c82b2
15144ee8d86
hexc4e3c204

3303260676 has 135 divisors (see below), whose sum is σ = 9010393623. Its totient is φ = 1055222640.

The previous prime is 3303260659. The next prime is 3303260743. The reversal of 3303260676 is 6760623033.

It is a happy number.

The square root of 3303260676 is 57474.

It is a perfect power (a square), and thus also a powerful number.

3303260676 is a `hidden beast` number, since 330 + 3 + 260 + 67 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3303260676.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32070441 + ... + 32070543.

Almost surely, 23303260676 is an apocalyptic number.

3303260676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3303260676 is the 57474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3303260676

3303260676 is an abundant number, since it is smaller than the sum of its proper divisors (5707132947).

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

3303260676 is a wasteful number, since it uses less digits than its factorization.

3303260676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The cubic root of 3303260676 is about 1489.2957463401.

Multiplying 3303260676 by its sum of digits (36), we get a square (118917384336 = 3448442).

3303260676 divided by its sum of digits (36) gives a square (91757241 = 95792).

The spelling of 3303260676 in words is "three billion, three hundred three million, two hundred sixty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 103 108 124 162 186 206 279 309 324 372 412 558 618 837 927 961 1116 1236 1674 1854 1922 2511 2781 2883 3193 3348 3708 3844 5022 5562 5766 6386 8343 8649 9579 10044 10609 11124 11532 12772 16686 17298 19158 21218 25947 28737 31827 33372 34596 38316 42436 51894 57474 63654 77841 86211 95481 98983 103788 114948 127308 155682 172422 190962 197966 258633 286443 296949 311364 328879 344844 381924 395932 517266 572886 593898 657758 859329 890847 986637 1034532 1145772 1187796 1315516 1718658 1781694 1973274 2672541 2959911 3437316 3563388 3946548 5345082 5919822 8017623 8879733 10195249 10690164 11839644 16035246 17759466 20390498 26639199 30585747 32070492 35518932 40780996 53278398 61171494 91757241 106556796 122342988 183514482 275271723 367028964 550543446 825815169 1101086892 1651630338 3303260676