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3268356 = 2237134173
BaseRepresentation
bin1100011101111100000100
320011001100020
430131330010
51314041411
6154015140
736531510
oct14357404
96131306
103268356
111932623
1211174b0
138a5850
14611140
15448606
hex31df04

3268356 has 96 divisors (see below), whose sum is σ = 9746688. Its totient is φ = 829440.

The previous prime is 3268339. The next prime is 3268373. The reversal of 3268356 is 6538623.

3268356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3268339) and next prime (3268373).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 44736 + ... + 44808.

It is an arithmetic number, because the mean of its divisors is an integer number (101528).

Almost surely, 23268356 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 3268356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873344).

3268356 is an abundant number, since it is smaller than the sum of its proper divisors (6478332).

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

3268356 is a wasteful number, since it uses less digits than its factorization.

3268356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 3268356 is about 1807.8595078158. The cubic root of 3268356 is about 148.4031496729.

The spelling of 3268356 in words is "three million, two hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 52 73 78 82 84 91 123 146 156 164 182 219 246 273 287 292 364 438 492 511 533 546 574 861 876 949 1022 1066 1092 1148 1533 1599 1722 1898 2044 2132 2847 2993 3066 3198 3444 3731 3796 5694 5986 6132 6396 6643 7462 8979 11193 11388 11972 13286 14924 17958 19929 20951 22386 26572 35916 38909 39858 41902 44772 62853 77818 79716 83804 116727 125706 155636 233454 251412 272363 466908 544726 817089 1089452 1634178 3268356