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3382496 = 251347173
BaseRepresentation
bin1100111001110011100000
320100211220122
430321303200
51331214441
6200255412
740515335
oct14716340
96324818
103382496
111a00357
121171568
139157a0
1464098c
1546c34b
hex339ce0

3382496 has 48 divisors (see below), whose sum is σ = 7366464. Its totient is φ = 1519104.

The previous prime is 3382493. The next prime is 3382501. The reversal of 3382496 is 6942833.

It is a happy number.

3382496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33824962 = 22882558380032, which contains 22 as substring.

Its product of digits (31104) is a multiple of the sum of its prime factors (243).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382493) 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 7 ways as a sum of consecutive naturals, for example, 19466 + ... + 19638.

It is an arithmetic number, because the mean of its divisors is an integer number (153468).

Almost surely, 23382496 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 3382496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683232).

3382496 is an abundant number, since it is smaller than the sum of its proper divisors (3983968).

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

3382496 is a wasteful number, since it uses less digits than its factorization.

3382496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 3382496 is about 1839.1563283201. The cubic root of 3382496 is about 150.1109697364.

The spelling of 3382496 in words is "three million, three hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 173 188 208 346 376 416 611 692 752 1222 1384 1504 2249 2444 2768 4498 4888 5536 8131 8996 9776 16262 17992 19552 32524 35984 65048 71968 105703 130096 211406 260192 422812 845624 1691248 3382496