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1344200 = 2352111347
BaseRepresentation
bin101001000001011001000
32112021220012
411020023020
5321003300
644451052
714265644
oct5101310
92467805
101344200
11838a10
12549a88
13380ab0
1426dc24
151b8435
hex1482c8

1344200 has 96 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 441600.

The previous prime is 1344199. The next prime is 1344227. The reversal of 1344200 is 24431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28577 + ... + 28623.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

21344200 is an apocalyptic number.

1344200 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 1344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1344200 is an abundant number, since it is smaller than the sum of its proper divisors (2405560).

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

1344200 is a wasteful number, since it uses less digits than its factorization.

1344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1344200 is about 1159.3963946813. The cubic root of 1344200 is about 110.3624408396.

Adding to 1344200 its reverse (24431), we get a palindrome (1368631).

It can be divided in two parts, 134 and 4200, that added together give a palindrome (4334).

The spelling of 1344200 in words is "one million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 47 50 52 55 65 88 94 100 104 110 130 143 188 200 220 235 260 275 286 325 376 440 470 517 520 550 572 611 650 715 940 1034 1100 1144 1175 1222 1300 1430 1880 2068 2200 2350 2444 2585 2600 2860 3055 3575 4136 4700 4888 5170 5720 6110 6721 7150 9400 10340 12220 12925 13442 14300 15275 20680 24440 25850 26884 28600 30550 33605 51700 53768 61100 67210 103400 122200 134420 168025 268840 336050 672100 1344200