Search a number
-
+
3400368 = 24370841
BaseRepresentation
bin1100111110001010110000
320101202102120
430332022300
51332302433
6200514240
740621416
oct14761260
96352376
103400368
111a12824
12117b980
1392096a
146472b6
154727b3
hex33e2b0

3400368 has 20 divisors (see below), whose sum is σ = 8784408. Its totient is φ = 1133440.

The previous prime is 3400361. The next prime is 3400379. The reversal of 3400368 is 8630043.

3400368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3400361) 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 3 ways as a sum of consecutive naturals, for example, 35373 + ... + 35468.

Almost surely, 23400368 is an apocalyptic number.

It is an amenable number.

3400368 is an abundant number, since it is smaller than the sum of its proper divisors (5384040).

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

3400368 is a wasteful number, since it uses less digits than its factorization.

3400368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70852 (or 70846 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3400368 is about 1844.0086767692. The cubic root of 3400368 is about 150.3748845190.

The spelling of 3400368 in words is "three million, four hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 70841 141682 212523 283364 425046 566728 850092 1133456 1700184 3400368