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3400400 = 24528501
BaseRepresentation
bin1100111110001011010000
320101202110202
430332023100
51332303100
6200514332
740621463
oct14761320
96352422
103400400
111a12853
12117b9a8
13920993
146472da
154727d5
hex33e2d0

3400400 has 30 divisors (see below), whose sum is σ = 8170422. Its totient is φ = 1360000.

The previous prime is 3400399. The next prime is 3400409. The reversal of 3400400 is 40043.

3400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 3400336 = 8^2 + 1844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400409) 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 5 ways as a sum of consecutive naturals, for example, 3851 + ... + 4650.

Almost surely, 23400400 is an apocalyptic number.

It is an amenable number.

3400400 is an abundant number, since it is smaller than the sum of its proper divisors (4770022).

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

3400400 is a wasteful number, since it uses less digits than its factorization.

3400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3400400 is about 1844.0173534975. The cubic root of 3400400 is about 150.3753562308.

Adding to 3400400 its reverse (40043), we get a palindrome (3440443).

The spelling of 3400400 in words is "three million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 8501 17002 34004 42505 68008 85010 136016 170020 212525 340040 425050 680080 850100 1700200 3400400