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3409744 = 2413397
BaseRepresentation
bin1101000000011101010000
320102020021211
431000131100
51333102434
6201025504
740660642
oct15003520
96366254
103409744
111a19878
121185294
13925000
1464a892
15475464
hex340750

3409744 has 40 divisors (see below), whose sum is σ = 7230440. Its totient is φ = 1557504.

The previous prime is 3409739. The next prime is 3409751. The reversal of 3409744 is 4479043.

It can be written as a sum of positive squares in 4 ways, for example, as 1123600 + 2286144 = 1060^2 + 1512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35104 + ... + 35200.

It is an arithmetic number, because the mean of its divisors is an integer number (180761).

Almost surely, 23409744 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 3409744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615220).

3409744 is an abundant number, since it is smaller than the sum of its proper divisors (3820696).

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

3409744 is an equidigital number, since it uses as much as digits as its factorization.

3409744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3409744 is about 1846.5492140747. The cubic root of 3409744 is about 150.5129696736.

The spelling of 3409744 in words is "three million, four hundred nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 97 104 169 194 208 338 388 676 776 1261 1352 1552 2197 2522 2704 4394 5044 8788 10088 16393 17576 20176 32786 35152 65572 131144 213109 262288 426218 852436 1704872 3409744