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3382208 = 26431229
BaseRepresentation
bin1100111001101111000000
320100211111222
430321233000
51331212313
6200254212
740514444
oct14715700
96324458
103382208
111a00115
121171368
1391560b
14640824
1546c208
hex339bc0

3382208 has 28 divisors (see below), whose sum is σ = 6873240. Its totient is φ = 1650432.

The previous prime is 3382199. The next prime is 3382217. The reversal of 3382208 is 8022833.

3382208 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 (3382199) and next prime (3382217).

It is a super-2 number, since 2×33822082 = 22878661910528, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2138 + ... + 3366.

Almost surely, 23382208 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 3382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436620).

3382208 is an abundant number, since it is smaller than the sum of its proper divisors (3491032).

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

3382208 is a wasteful number, since it uses less digits than its factorization.

3382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3382208 is about 1839.0780298835. The cubic root of 3382208 is about 150.1067092548.

The spelling of 3382208 in words is "three million, three hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1229 1376 2458 2752 4916 9832 19664 39328 52847 78656 105694 211388 422776 845552 1691104 3382208