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344141300 = 22521929533
BaseRepresentation
bin10100100000110…
…010110111110100
3212222120012010002
4110200302313310
51201100010200
654052050432
711346103256
oct2440626764
9788505102
10344141300
111672934a8
1297303a18
13563b4609
14339c3cd6
152032cbd5
hex14832df4

344141300 has 54 divisors (see below), whose sum is σ = 788242518. Its totient is φ = 130397760.

The previous prime is 344141297. The next prime is 344141311. The reversal of 344141300 is 3141443.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1669264 + 342472036 = 1292^2 + 18506^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31334 + ... + 40866.

Almost surely, 2344141300 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 344141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394121259).

344141300 is an abundant number, since it is smaller than the sum of its proper divisors (444101218).

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

344141300 is a wasteful number, since it uses less digits than its factorization.

344141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 344141300 is about 18551.0457926231. The cubic root of 344141300 is about 700.7755350197.

Adding to 344141300 its reverse (3141443), we get a palindrome (347282743).

The spelling of 344141300 in words is "three hundred forty-four million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 7220 9025 9533 18050 19066 36100 38132 47665 95330 181127 190660 238325 362254 476650 724508 905635 953300 1811270 3441413 3622540 4528175 6882826 9056350 13765652 17207065 18112700 34414130 68828260 86035325 172070650 344141300