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1344321100 = 225229716529
BaseRepresentation
bin101000000100000…
…1011011001001100
310110200120120212101
41100020023121030
510223121233400
6341221244444
745212353333
oct12010133114
93420516771
101344321100
1162a91a381
12316263724
13185685595
14ca77ad1a
157d04756a
hex5020b64c

1344321100 has 72 divisors (see below), whose sum is σ = 3060741600. Its totient is φ = 511795200.

The previous prime is 1344321073. The next prime is 1344321137. The reversal of 1344321100 is 11234431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202636 + ... + 209164.

It is an arithmetic number, because the mean of its divisors is an integer number (42510300).

Almost surely, 21344321100 is an apocalyptic number.

1344321100 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 1344321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530370800).

1344321100 is an abundant number, since it is smaller than the sum of its proper divisors (1716420500).

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

1344321100 is a wasteful number, since it uses less digits than its factorization.

1344321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1344321100 is about 36664.9846583904. The cubic root of 1344321100 is about 1103.6575495219.

Adding to 1344321100 its reverse (11234431), we get a palindrome (1355555531).

It can be divided in two parts, 13443 and 21100, that added together give a palindrome (34543).

The spelling of 1344321100 in words is "one billion, three hundred forty-four million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 71 100 116 142 145 284 290 355 580 710 725 1420 1450 1775 2059 2900 3550 4118 6529 7100 8236 10295 13058 20590 26116 32645 41180 51475 65290 102950 130580 163225 189341 205900 326450 378682 463559 652900 757364 927118 946705 1854236 1893410 2317795 3786820 4635590 4733525 9271180 9467050 11588975 13443211 18934100 23177950 26886422 46355900 53772844 67216055 134432110 268864220 336080275 672160550 1344321100