Search a number
-
+
3299670 = 2335112101
BaseRepresentation
bin1100100101100101010110
320012122022000
430211211112
51321042140
6154420130
740022013
oct14454526
96178260
103299670
111954100
121131646
138b6b8a
1461c70a
15452a30
hex325956

3299670 has 96 divisors (see below), whose sum is σ = 9767520. Its totient is φ = 792000.

The previous prime is 3299651. The next prime is 3299677. The reversal of 3299670 is 769923.

3299670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32620 + ... + 32720.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

Almost surely, 23299670 is an apocalyptic number.

3299670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3299670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883760).

3299670 is an abundant number, since it is smaller than the sum of its proper divisors (6467850).

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

3299670 is a wasteful number, since it uses less digits than its factorization.

3299670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3299670 is about 1816.4993806770. The cubic root of 3299670 is about 148.8755924448.

It can be divided in two parts, 3299 and 670, that added together give a square (3969 = 632).

The spelling of 3299670 in words is "three million, two hundred ninety-nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 101 110 121 135 165 198 202 242 270 297 303 330 363 495 505 594 605 606 726 909 990 1010 1089 1111 1210 1485 1515 1815 1818 2178 2222 2727 2970 3030 3267 3333 3630 4545 5445 5454 5555 6534 6666 9090 9999 10890 11110 12221 13635 16335 16665 19998 24442 27270 29997 32670 33330 36663 49995 59994 61105 73326 99990 109989 122210 149985 183315 219978 299970 329967 366630 549945 659934 1099890 1649835 3299670