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3401456 = 241967167
BaseRepresentation
bin1100111110011011110000
320101210220212
430332123300
51332321311
6200523252
740624532
oct14763360
96353825
103401456
111a13623
121180528
139212c6
14647852
15472c8b
hex33e6f0

3401456 has 40 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 1577664.

The previous prime is 3401449. The next prime is 3401467. The reversal of 3401456 is 6541043.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 20285 + ... + 20451.

It is an arithmetic number, because the mean of its divisors is an integer number (177072).

Almost surely, 23401456 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 3401456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

3401456 is an abundant number, since it is smaller than the sum of its proper divisors (3681424).

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

3401456 is a wasteful number, since it uses less digits than its factorization.

3401456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3401456 is about 1844.3036626326. The cubic root of 3401456 is about 150.3909210605.

Adding to 3401456 its reverse (6541043), we get a palindrome (9942499).

The spelling of 3401456 in words is "three million, four hundred one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 167 268 304 334 536 668 1072 1273 1336 2546 2672 3173 5092 6346 10184 11189 12692 20368 22378 25384 44756 50768 89512 179024 212591 425182 850364 1700728 3401456