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3421440 = 2835511
BaseRepresentation
bin1101000011010100000000
320102211100000
431003110000
51333441230
6201200000
741040021
oct15032400
96384300
103421440
111a27640
121190000
1392a429
14650c48
15478b60
hex343500

3421440 has 216 divisors, whose sum is σ = 13392288. Its totient is φ = 829440.

The previous prime is 3421433. The next prime is 3421447. The reversal of 3421440 is 441243.

It is an interprime number because it is at equal distance from previous prime (3421433) and next prime (3421447).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311035 + ... + 311045.

Almost surely, 23421440 is an apocalyptic number.

3421440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696144).

3421440 is an abundant number, since it is smaller than the sum of its proper divisors (9970848).

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

3421440 is an equidigital number, since it uses as much as digits as its factorization.

3421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3421440 is about 1849.7134913278. The cubic root of 3421440 is about 150.6848682773.

Adding to 3421440 its reverse (441243), we get a palindrome (3862683).

The spelling of 3421440 in words is "three million, four hundred twenty-one thousand, four hundred forty".