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3427812 = 2233171867
BaseRepresentation
bin1101000100110111100100
320110011002000
431010313210
51334142222
6201245300
741064423
oct15046744
96404060
103427812
111a31403
121193830
139302bb
146532ba
1547a9ac
hex344de4

3427812 has 48 divisors (see below), whose sum is σ = 9414720. Its totient is φ = 1074816.

The previous prime is 3427811. The next prime is 3427813. The reversal of 3427812 is 2187243.

3427812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3427811) and next prime (3427813).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3427811) 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 15 ways as a sum of consecutive naturals, for example, 903 + ... + 2769.

It is an arithmetic number, because the mean of its divisors is an integer number (196140).

Almost surely, 23427812 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 3427812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707360).

3427812 is an abundant number, since it is smaller than the sum of its proper divisors (5986908).

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

3427812 is a wasteful number, since it uses less digits than its factorization.

3427812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 3427812 is about 1851.4351190360. The cubic root of 3427812 is about 150.7783541132.

The spelling of 3427812 in words is "three million, four hundred twenty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 1867 3734 5601 7468 11202 16803 22404 31739 33606 50409 63478 67212 95217 100818 126956 190434 201636 285651 380868 571302 856953 1142604 1713906 3427812