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1349400 = 2335213173
BaseRepresentation
bin101001001011100011000
32112120000210
411021130120
5321140100
644531120
714320053
oct5113430
92476023
101349400
11841908
12550aa0
13383280
14271a9a
151b9c50
hex149718

1349400 has 96 divisors (see below), whose sum is σ = 4530960. Its totient is φ = 330240.

The previous prime is 1349393. The next prime is 1349401. The reversal of 1349400 is 49431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7714 + ... + 7886.

21349400 is an apocalyptic number.

1349400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265480).

1349400 is an abundant number, since it is smaller than the sum of its proper divisors (3181560).

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

1349400 is a wasteful number, since it uses less digits than its factorization.

1349400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1349400 is about 1161.6367762773. The cubic root of 1349400 is about 110.5045690596.

The spelling of 1349400 in words is "one million, three hundred forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 173 195 200 260 300 312 325 346 390 519 520 600 650 692 780 865 975 1038 1300 1384 1560 1730 1950 2076 2249 2595 2600 3460 3900 4152 4325 4498 5190 6747 6920 7800 8650 8996 10380 11245 12975 13494 17300 17992 20760 22490 25950 26988 33735 34600 44980 51900 53976 56225 67470 89960 103800 112450 134940 168675 224900 269880 337350 449800 674700 1349400