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341331444 = 223215496121
BaseRepresentation
bin10100010110000…
…100110111110100
3212210021102201100
4110112010313310
51144340101234
653511530100
711313161256
oct2426046764
9783242640
10341331444
11165744403
1296389930
135593c68c
1433491cd6
151ee75399
hex14584df4

341331444 has 36 divisors (see below), whose sum is σ = 863508100. Its totient is φ = 113685120.

The previous prime is 341331379. The next prime is 341331449. The reversal of 341331444 is 444133143.

341331444 is a `hidden beast` number, since 341 + 3 + 314 + 4 + 4 = 666.

341331444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 73616400 + 267715044 = 8580^2 + 16362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×3413314444 (a number of 35 digits) contains 4444 as substring.

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 (341331449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52704 + ... + 58824.

Almost surely, 2341331444 is an apocalyptic number.

It is an amenable number.

341331444 is an abundant number, since it is smaller than the sum of its proper divisors (522176656).

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

341331444 is a wasteful number, since it uses less digits than its factorization.

341331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7675 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 341331444 is about 18475.1574824141. The cubic root of 341331444 is about 698.8630823455.

Adding to 341331444 its reverse (444133143), we get a palindrome (785464587).

The spelling of 341331444 in words is "three hundred forty-one million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1549 3098 4647 6121 6196 9294 12242 13941 18363 18588 24484 27882 36726 55089 55764 73452 110178 220356 9481429 18962858 28444287 37925716 56888574 85332861 113777148 170665722 341331444