Search a number
-
+
3442764 = 2231329761
BaseRepresentation
bin1101001000100001001100
320110220120210
431020201030
51340132024
6201442420
741156133
oct15104114
96426523
103442764
111a41666
1211a0410
13937050
1465891a
15480129
hex34884c

3442764 has 48 divisors (see below), whose sum is σ = 8961120. Its totient is φ = 1021440.

The previous prime is 3442763. The next prime is 3442799. The reversal of 3442764 is 4672443.

3442764 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3442763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4144 + ... + 4904.

It is an arithmetic number, because the mean of its divisors is an integer number (186690).

Almost surely, 23442764 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 3442764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480560).

3442764 is an abundant number, since it is smaller than the sum of its proper divisors (5518356).

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

3442764 is a wasteful number, since it uses less digits than its factorization.

3442764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 808 counting only the distinct ones).

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

The square root of 3442764 is about 1855.4686739474. The cubic root of 3442764 is about 150.9972661523.

The spelling of 3442764 in words is "three million, four hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 761 1131 1508 1522 2262 2283 3044 4524 4566 9132 9893 19786 22069 29679 39572 44138 59358 66207 88276 118716 132414 264828 286897 573794 860691 1147588 1721382 3442764