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3442164 = 2231189293
BaseRepresentation
bin1101001000010111110100
320110212202120
431020113310
51340122124
6201435540
741154315
oct15102764
96425676
103442164
111a41170
12119bbb0
139369ab
1465860c
1547ed79
hex3485f4

3442164 has 48 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1027840.

The previous prime is 3442163. The next prime is 3442171. The reversal of 3442164 is 4612443.

3442164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442163) 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, 11602 + ... + 11894.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 23442164 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 3442164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

3442164 is an abundant number, since it is smaller than the sum of its proper divisors (5448396).

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

3442164 is a wasteful number, since it uses less digits than its factorization.

3442164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3442164 is about 1855.3069826851. The cubic root of 3442164 is about 150.9884937799.

The spelling of 3442164 in words is "three million, four hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 293 356 534 586 879 979 1068 1172 1758 1958 2937 3223 3516 3916 5874 6446 9669 11748 12892 19338 26077 38676 52154 78231 104308 156462 286847 312924 573694 860541 1147388 1721082 3442164