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3400144 = 241119319
BaseRepresentation
bin1100111110000111010000
320101202010021
430332013100
51332301034
6200513224
740620646
oct14760720
96352107
103400144
111a12640
12117b814
13920827
14647196
154726b4
hex33e1d0

3400144 has 20 divisors (see below), whose sum is σ = 7187040. Its totient is φ = 1545440.

The previous prime is 3400127. The next prime is 3400157. The reversal of 3400144 is 4410043.

3400144 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 (16).

It is a congruent number.

It is an unprimeable number.

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, 9484 + ... + 9835.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 23400144 is an apocalyptic number.

It is an amenable number.

3400144 is an abundant number, since it is smaller than the sum of its proper divisors (3786896).

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

3400144 is a wasteful number, since it uses less digits than its factorization.

3400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19338 (or 19332 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3400144 is about 1843.9479385275. The cubic root of 3400144 is about 150.3715824535.

Adding to 3400144 its product of nonzero digits (192), we get a square (3400336 = 18442).

Adding to 3400144 its reverse (4410043), we get a palindrome (7810187).

The spelling of 3400144 in words is "three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 19319 38638 77276 154552 212509 309104 425018 850036 1700072 3400144