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3409344 = 26331973
BaseRepresentation
bin1101000000010111000000
320102012202000
431000113000
51333044334
6201024000
740656531
oct15002700
96365660
103409344
111a19544
121185000
13924a83
1464a688
15475299
hex3405c0

3409344 has 56 divisors (see below), whose sum is σ = 10027920. Its totient is φ = 1135872.

The previous prime is 3409339. The next prime is 3409361. The reversal of 3409344 is 4439043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (179070).

Almost surely, 23409344 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 3409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013960).

3409344 is an abundant number, since it is smaller than the sum of its proper divisors (6618576).

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

3409344 is a wasteful number, since it uses less digits than its factorization.

3409344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3409344 is about 1846.4409007602. The cubic root of 3409344 is about 150.5070838415.

The spelling of 3409344 in words is "three million, four hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1973 3946 5919 7892 11838 15784 17757 23676 31568 35514 47352 53271 63136 71028 94704 106542 126272 142056 189408 213084 284112 378816 426168 568224 852336 1136448 1704672 3409344