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3420032 = 27711347
BaseRepresentation
bin1101000010111110000000
320102202101212
431002332000
51333420112
6201145252
741032640
oct15027600
96382355
103420032
111a26580
12118b228
139298b5
14650520
15478522
hex342f80

3420032 has 64 divisors (see below), whose sum is σ = 8519040. Its totient is φ = 1328640.

The previous prime is 3420023. The next prime is 3420047. The reversal of 3420032 is 2300243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3419989 and 3420016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9683 + ... + 10029.

It is an arithmetic number, because the mean of its divisors is an integer number (133110).

Almost surely, 23420032 is an apocalyptic number.

3420032 is a gapful number since it is divisible by the number (32) 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 3420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259520).

3420032 is an abundant number, since it is smaller than the sum of its proper divisors (5099008).

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

3420032 is a wasteful number, since it uses less digits than its factorization.

3420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3420032 is about 1849.3328526796. The cubic root of 3420032 is about 150.6641953633.

Adding to 3420032 its reverse (2300243), we get a palindrome (5720275).

The spelling of 3420032 in words is "three million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 347 352 448 616 694 704 896 1232 1388 1408 2429 2464 2776 3817 4858 4928 5552 7634 9716 9856 11104 15268 19432 22208 26719 30536 38864 44416 53438 61072 77728 106876 122144 155456 213752 244288 310912 427504 488576 855008 1710016 3420032