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3427644 = 22311231129
BaseRepresentation
bin1101000100110100111100
320110010211210
431010310330
51334141034
6201244420
741064063
oct15046474
96403753
103427644
111a31270
121193710
139301bc
146531da
1547a8e9
hex344d3c

3427644 has 48 divisors (see below), whose sum is σ = 9112320. Its totient is φ = 992640.

The previous prime is 3427607. The next prime is 3427673. The reversal of 3427644 is 4467243.

3427644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 39 + 4 + 221 + 72 + 62 + 49 + 410 .

It is a congruent number.

It is an unprimeable number.

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, 2472 + ... + 3600.

It is an arithmetic number, because the mean of its divisors is an integer number (189840).

Almost surely, 23427644 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 3427644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556160).

3427644 is an abundant number, since it is smaller than the sum of its proper divisors (5684676).

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

3427644 is a wasteful number, since it uses less digits than its factorization.

3427644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1168 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 3427644 is about 1851.3897482702. The cubic root of 3427644 is about 150.7758908142.

The spelling of 3427644 in words is "three million, four hundred twenty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1129 1518 2258 3036 3387 4516 6774 12419 13548 24838 25967 37257 49676 51934 74514 77901 103868 149028 155802 285637 311604 571274 856911 1142548 1713822 3427644