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1244431300 = 225274434013
BaseRepresentation
bin100101000101100…
…1000001111000100
310012201121122211011
41022023020033010
510022033300200
6323252252004
742560330410
oct11213101704
93181548734
101244431300
115894a3722
122a8911004
1316aa7cca8
14bb3b7d40
15743b55ba
hex4a2c83c4

1244431300 has 72 divisors (see below), whose sum is σ = 3093926976. Its totient is φ = 425592960.

The previous prime is 1244431289. The next prime is 1244431301. The reversal of 1244431300 is 31344421.

It is not an unprimeable number, because it can be changed into a prime (1244431301) 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, 308094 + ... + 312106.

It is an arithmetic number, because the mean of its divisors is an integer number (42971208).

Almost surely, 21244431300 is an apocalyptic number.

1244431300 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 1244431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546963488).

1244431300 is an abundant number, since it is smaller than the sum of its proper divisors (1849495676).

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

1244431300 is a wasteful number, since it uses less digits than its factorization.

1244431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1244431300 is about 35276.4978420478. The cubic root of 1244431300 is about 1075.6153102608.

Adding to 1244431300 its reverse (31344421), we get a palindrome (1275775721).

The spelling of 1244431300 in words is "one billion, two hundred forty-four million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 443 700 886 1772 2215 3101 4013 4430 6202 8026 8860 11075 12404 15505 16052 20065 22150 28091 31010 40130 44300 56182 62020 77525 80260 100325 112364 140455 155050 200650 280910 310100 401300 561820 702275 1404550 1777759 2809100 3555518 7111036 8888795 12444313 17777590 24888626 35555180 44443975 49777252 62221565 88887950 124443130 177775900 248886260 311107825 622215650 1244431300