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3444140 = 225773337
BaseRepresentation
bin1101001000110110101100
320110222110202
431020312230
51340203030
6201453032
741163140
oct15106654
96428422
103444140
111a426a7
1211a1178
1393786b
14659220
15480745
hex348dac

3444140 has 48 divisors (see below), whose sum is σ = 8404032. Its totient is φ = 1161216.

The previous prime is 3444107. The next prime is 3444143. The reversal of 3444140 is 414443.

3444140 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 (20).

It is not an unprimeable number, because it can be changed into a prime (3444143) 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 15 ways as a sum of consecutive naturals, for example, 10052 + ... + 10388.

It is an arithmetic number, because the mean of its divisors is an integer number (175084).

Almost surely, 23444140 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 3444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202016).

3444140 is an abundant number, since it is smaller than the sum of its proper divisors (4959892).

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

3444140 is a wasteful number, since it uses less digits than its factorization.

3444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3444140 is about 1855.8394327096. The cubic root of 3444140 is about 151.0173802780.

Adding to 3444140 its reverse (414443), we get a palindrome (3858583).

The spelling of 3444140 in words is "three million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 337 365 511 674 730 1022 1348 1460 1685 2044 2359 2555 3370 4718 5110 6740 9436 10220 11795 23590 24601 47180 49202 98404 123005 172207 246010 344414 492020 688828 861035 1722070 3444140