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343044432 = 24323377069
BaseRepresentation
bin10100011100100…
…111000101010000
3212220111110111100
4110130213011100
51200304410212
654012344400
711333554353
oct2434470520
9786443440
10343044432
111667043a5
1296a75100
13560bc293
14337ba29a
15201b2bdc
hex14727150

343044432 has 60 divisors (see below), whose sum is σ = 963032980. Its totient is φ = 113992704.

The previous prime is 343044431. The next prime is 343044439. The reversal of 343044432 is 234440343.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 237036816 = 10296^2 + 15396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 343044396 and 343044405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343044431) 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, 44994 + ... + 52062.

Almost surely, 2343044432 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 343044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481516490).

343044432 is an abundant number, since it is smaller than the sum of its proper divisors (619988548).

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

343044432 is a wasteful number, since it uses less digits than its factorization.

343044432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 343044432 is about 18521.4586898549. The cubic root of 343044432 is about 700.0302245453.

Adding to 343044432 its reverse (234440343), we get a palindrome (577484775).

The spelling of 343044432 in words is "three hundred forty-three million, forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2696 3033 4044 5392 6066 7069 8088 12132 14138 16176 21207 24264 28276 42414 48528 56552 63621 84828 113104 127242 169656 254484 339312 508968 1017936 2382253 4764506 7146759 9529012 14293518 19058024 21440277 28587036 38116048 42880554 57174072 85761108 114348144 171522216 343044432