Search a number
-
+
1044226320 = 243519318389
BaseRepresentation
bin111110001111011…
…010000100010000
32200202220012012220
4332033122010100
54114310220240
6251341221040
734606530414
oct7617320420
92622805186
101044226320
11496490765
12251861780
131384535c7
149c980d44
1561a1a5d0
hex3e3da110

1044226320 has 320 divisors, whose sum is σ = 3599769600. Its totient is φ = 249384960.

The previous prime is 1044226303. The next prime is 1044226361. The reversal of 1044226320 is 236224401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11732836 + ... + 11732924.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 21044226320 is an apocalyptic number.

1044226320 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 1044226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

1044226320 is an abundant number, since it is smaller than the sum of its proper divisors (2555543280).

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

1044226320 is a wasteful number, since it uses less digits than its factorization.

1044226320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1044226320 is about 32314.4908671017. The cubic root of 1044226320 is about 1014.5299642832.

The spelling of 1044226320 in words is "one billion, forty-four million, two hundred twenty-six thousand, three hundred twenty".