Search a number
-
+
1243244400 = 243523728001
BaseRepresentation
bin100101000011010…
…0110011101110000
310012122101100200220
41022012212131300
510021232310100
6323211013040
742544255146
oct11206463560
93178340626
101243244400
11588862a12
122a843a180
1316a755998
14bb189596
157422daa0
hex4a1a6770

1243244400 has 120 divisors (see below), whose sum is σ = 4090308144. Its totient is φ = 322560000.

The previous prime is 1243244399. The next prime is 1243244407. The reversal of 1243244400 is 44423421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243244407) 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, 30400 + ... + 58400.

Almost surely, 21243244400 is an apocalyptic number.

1243244400 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 1243244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045154072).

1243244400 is an abundant number, since it is smaller than the sum of its proper divisors (2847063744).

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

1243244400 is a wasteful number, since it uses less digits than its factorization.

1243244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28059 (or 28048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1243244400 is about 35259.6710137800. The cubic root of 1243244400 is about 1075.2732386380.

Adding to 1243244400 its reverse (44423421), we get a palindrome (1287667821).

The spelling of 1243244400 in words is "one billion, two hundred forty-three million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 28001 44400 56002 84003 112004 140005 168006 224008 280010 336012 420015 448016 560020 672024 700025 840030 1036037 1120040 1344048 1400050 1680060 2072074 2100075 2240080 2800100 3108111 3360120 4144148 4200150 5180185 5600200 6216222 6720240 8288296 8400300 10360370 11200400 12432444 15540555 16576592 16800600 20720740 24864888 25900925 31081110 33601200 41441480 49729776 51801850 62162220 77702775 82882960 103603700 124324440 155405550 207207400 248648880 310811100 414414800 621622200 1243244400