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1344044200 = 23527194651
BaseRepresentation
bin101000000011100…
…0111110010101000
310110200001112000211
41100013013302220
510223033403300
6341211310504
745210121132
oct12007076250
93420045024
101344044200
1162a750334
1231614b434
131855b9535
14ca708052
157cee04ba
hex501c7ca8

1344044200 has 48 divisors (see below), whose sum is σ = 3168948960. Its totient is φ = 530040000.

The previous prime is 1344044189. The next prime is 1344044231. The reversal of 1344044200 is 24404431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33126 + ... + 61525.

It is an arithmetic number, because the mean of its divisors is an integer number (66019770).

Almost surely, 21344044200 is an apocalyptic number.

1344044200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344044200 is an abundant number, since it is smaller than the sum of its proper divisors (1824904760).

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

1344044200 is a wasteful number, since it uses less digits than its factorization.

1344044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94738 (or 94729 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1344044200 is about 36661.2083816123. The cubic root of 1344044200 is about 1103.5817680834.

Adding to 1344044200 its reverse (24404431), we get a palindrome (1368448631).

It can be divided in two parts, 134404 and 4200, that multiplied together give a triangular number (564496800 = T33600).

The spelling of 1344044200 in words is "one billion, three hundred forty-four million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 14200 94651 189302 378604 473255 757208 946510 1893020 2366275 3786040 4732550 6720221 9465100 13440442 18930200 26880884 33601105 53761768 67202210 134404420 168005525 268808840 336011050 672022100 1344044200