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3420424 = 237103593
BaseRepresentation
bin1101000011000100001000
320102202221101
431003010020
51333423144
6201151144
741034040
oct15030410
96382841
103420424
111a268a7
12118b4b4
13929b27
14650720
154786d4
hex343108

3420424 has 32 divisors (see below), whose sum is σ = 7413120. Its totient is φ = 1449216.

The previous prime is 3420421. The next prime is 3420427. The reversal of 3420424 is 4240243.

It is an interprime number because it is at equal distance from previous prime (3420421) and next prime (3420427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420421) 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 7 ways as a sum of consecutive naturals, for example, 5472 + ... + 6064.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 23420424 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 3420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706560).

3420424 is an abundant number, since it is smaller than the sum of its proper divisors (3992696).

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

3420424 is a wasteful number, since it uses less digits than its factorization.

3420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 3420424 is about 1849.4388338088. The cubic root of 3420424 is about 150.6699514603.

Adding to 3420424 its reverse (4240243), we get a palindrome (7660667).

It can be divided in two parts, 3420 and 424, that added together give a square (3844 = 622).

The spelling of 3420424 in words is "three million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 593 721 824 1186 1442 2372 2884 4151 4744 5768 8302 16604 33208 61079 122158 244316 427553 488632 855106 1710212 3420424