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3421020 = 2235233767
BaseRepresentation
bin1101000011001101011100
320102210202110
431003031130
51333433040
6201154020
741035551
oct15031534
96383673
103421020
111a27299
12118b910
1392a195
14650a28
15478980
hex34335c

3421020 has 96 divisors (see below), whose sum is σ = 10418688. Its totient is φ = 836352.

The previous prime is 3421013. The next prime is 3421021. The reversal of 3421020 is 201243.

3421020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 3420987 and 3421005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421021) 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 31 ways as a sum of consecutive naturals, for example, 51027 + ... + 51093.

It is an arithmetic number, because the mean of its divisors is an integer number (108528).

Almost surely, 23421020 is an apocalyptic number.

3421020 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 3421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209344).

3421020 is an abundant number, since it is smaller than the sum of its proper divisors (6997668).

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

3421020 is a wasteful number, since it uses less digits than its factorization.

3421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3421020 is about 1849.5999567474. The cubic root of 3421020 is about 150.6787022347.

Adding to 3421020 its reverse (201243), we get a palindrome (3622263).

The spelling of 3421020 in words is "three million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 67 69 74 92 111 115 134 138 148 185 201 222 230 268 276 335 345 370 402 444 460 555 670 690 740 804 851 1005 1110 1340 1380 1541 1702 2010 2220 2479 2553 3082 3404 4020 4255 4623 4958 5106 6164 7437 7705 8510 9246 9916 10212 12395 12765 14874 15410 17020 18492 23115 24790 25530 29748 30820 37185 46230 49580 51060 57017 74370 92460 114034 148740 171051 228068 285085 342102 570170 684204 855255 1140340 1710510 3421020