Search a number
-
+
3427072 = 28111217
BaseRepresentation
bin1101000100101100000000
320110010001121
431010230000
51334131242
6201242024
741062315
oct15045400
96403047
103427072
111a308a0
121193314
1392cb6c
14652d0c
1547a667
hex344b00

3427072 has 36 divisors (see below), whose sum is σ = 7468776. Its totient is φ = 1556480.

The previous prime is 3427063. The next prime is 3427079. The reversal of 3427072 is 2707243.

It is not an unprimeable number, because it can be changed into a prime (3427079) 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 3 ways as a sum of consecutive naturals, for example, 2208 + ... + 3424.

It is an arithmetic number, because the mean of its divisors is an integer number (207466).

Almost surely, 23427072 is an apocalyptic number.

3427072 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 3427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734388).

3427072 is an abundant number, since it is smaller than the sum of its proper divisors (4041704).

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

3427072 is a wasteful number, since it uses less digits than its factorization.

3427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 3427072 is about 1851.2352632769. The cubic root of 3427072 is about 150.7675032641.

The spelling of 3427072 in words is "three million, four hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1217 1408 2434 2816 4868 9736 13387 19472 26774 38944 53548 77888 107096 155776 214192 311552 428384 856768 1713536 3427072