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3243828 = 223723273
BaseRepresentation
bin1100010111111100110100
320002210200210
430113330310
51312300303
6153305420
736400140
oct14277464
96083623
103243828
111916155
121105270
13897633
14606220
15441203
hex317f34

3243828 has 72 divisors (see below), whose sum is σ = 9166528. Its totient is φ = 874368.

The previous prime is 3243811. The next prime is 3243833. The reversal of 3243828 is 8283423.

3243828 = 72 + 82 + ... + 2132.

It is an Ulam number.

It is a d-powerful number, because it can be written as 37 + 220 + 410 + 310 + 84 + 220 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 3243795 and 3243804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44400 + ... + 44472.

Almost surely, 23243828 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 3243828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583264).

3243828 is an abundant number, since it is smaller than the sum of its proper divisors (5922700).

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

3243828 is a wasteful number, since it uses less digits than its factorization.

3243828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 3243828 is about 1801.0630194416. The cubic root of 3243828 is about 148.0309772022.

The spelling of 3243828 in words is "three million, two hundred forty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 73 84 92 138 146 161 219 276 292 322 438 483 511 529 644 876 966 1022 1058 1533 1587 1679 1932 2044 2116 3066 3174 3358 3703 5037 6132 6348 6716 7406 10074 11109 11753 14812 20148 22218 23506 35259 38617 44436 47012 70518 77234 115851 141036 154468 231702 270319 463404 540638 810957 1081276 1621914 3243828