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3420420 = 2235109523
BaseRepresentation
bin1101000011000100000100
320102202221020
431003010010
51333423140
6201151140
741034033
oct15030404
96382836
103420420
111a268a3
12118b4b0
13929b23
1465071a
154786d0
hex343104

3420420 has 48 divisors (see below), whose sum is σ = 9683520. Its totient is φ = 902016.

The previous prime is 3420409. The next prime is 3420421. The reversal of 3420420 is 240243.

It is a happy number.

3420420 is nontrivially palindromic in base 9.

3420420 is a nontrivial binomial coefficient, being equal to C(2616, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3420420.

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 15 ways as a sum of consecutive naturals, for example, 6279 + ... + 6801.

It is an arithmetic number, because the mean of its divisors is an integer number (201740).

Almost surely, 23420420 is an apocalyptic number.

3420420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3420420 is the 2615-th triangular number and also the 1308-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841760).

3420420 is an abundant number, since it is smaller than the sum of its proper divisors (6263100).

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

3420420 is a wasteful number, since it uses less digits than its factorization.

3420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3420420 is about 1849.4377523994. The cubic root of 3420420 is about 150.6698927268.

Adding to 3420420 its reverse (240243), we get a palindrome (3660663).

The spelling of 3420420 in words is "three million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 523 545 654 1046 1090 1308 1569 1635 2092 2180 2615 3138 3270 5230 6276 6540 7845 10460 15690 31380 57007 114014 171021 228028 285035 342042 570070 684084 855105 1140140 1710210 3420420