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3282696 = 2332127359
BaseRepresentation
bin1100100001011100001000
320011210000100
430201130020
51320021241
6154205400
736621354
oct14413410
96153010
103282696
11194237a
121123860
138ac231
14616464
1544c9b6
hex321708

3282696 has 48 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 1082592.

The previous prime is 3282691. The next prime is 3282703. The reversal of 3282696 is 6962823.

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

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 313 + 29 + 8 + 213 + 62 + 9 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3282696.

It is not an unprimeable number, because it can be changed into a prime (3282691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8965 + ... + 9323.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 23282696 is an apocalyptic number.

3282696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

3282696 is an abundant number, since it is smaller than the sum of its proper divisors (5702904).

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

3282696 is a wasteful number, since it uses less digits than its factorization.

3282696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3282696 is about 1811.8211832297. The cubic root of 3282696 is about 148.6198739591.

It can be divided in two parts, 32 and 82696, that added together give a palindrome (82728).

The spelling of 3282696 in words is "three million, two hundred eighty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 359 381 508 718 762 1016 1077 1143 1436 1524 2154 2286 2872 3048 3231 4308 4572 6462 8616 9144 12924 25848 45593 91186 136779 182372 273558 364744 410337 547116 820674 1094232 1641348 3282696