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344245384 = 23722333769
BaseRepresentation
bin10100100001001…
…100010010001000
3212222202110220001
4110201030102020
51201111323014
654054212344
711350015600
oct2441142210
9788673801
10344245384
1116735471a
12973540b4
135641cac2
1433a0dc00
152034d974
hex1484c488

344245384 has 48 divisors (see below), whose sum is σ = 754263900. Its totient is φ = 146861568.

The previous prime is 344245361. The next prime is 344245409. The reversal of 344245384 is 483542443.

It can be written as a sum of positive squares in 2 ways, for example, as 344102500 + 142884 = 18550^2 + 378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89452 + ... + 93220.

Almost surely, 2344245384 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 344245384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377131950).

344245384 is an abundant number, since it is smaller than the sum of its proper divisors (410018516).

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

344245384 is a wasteful number, since it uses less digits than its factorization.

344245384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4011 counting only the distinct ones).

The product of its digits is 184320, while the sum is 37.

The square root of 344245384 is about 18553.8509210352. The cubic root of 344245384 is about 700.8461767092.

The spelling of 344245384 in words is "three hundred forty-four million, two hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 233 392 466 932 1631 1864 3262 3769 6524 7538 11417 13048 15076 22834 26383 30152 45668 52766 91336 105532 184681 211064 369362 738724 878177 1477448 1756354 3512708 6147239 7025416 12294478 24588956 43030673 49177912 86061346 172122692 344245384