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1440230344 = 237217212713
BaseRepresentation
bin101010111011000…
…0010101111001000
310201101001021121121
41111312002233020
510422144332334
6354525045024
750455520200
oct12566025710
93641037547
101440230344
11679a77413
123423b6774
1319c4c6107
14d93c5400
158668edb4
hex55d82bc8

1440230344 has 72 divisors (see below), whose sum is σ = 3337234290. Its totient is φ = 580887552.

The previous prime is 1440230339. The next prime is 1440230369. The reversal of 1440230344 is 4430320441.

It can be written as a sum of positive squares in 3 ways, for example, as 1394126244 + 46104100 = 37338^2 + 6790^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106932 + ... + 119644.

Almost surely, 21440230344 is an apocalyptic number.

1440230344 is a gapful number since it is divisible by the number (14) 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 1440230344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668617145).

1440230344 is an abundant number, since it is smaller than the sum of its proper divisors (1897003946).

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

1440230344 is a wasteful number, since it uses less digits than its factorization.

1440230344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12767 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1440230344 is about 37950.3668493468. The cubic root of 1440230344 is about 1129.3034431145.

Adding to 1440230344 its reverse (4430320441), we get a palindrome (5870550785).

The spelling of 1440230344 in words is "one billion, four hundred forty million, two hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 289 392 476 578 833 952 1156 1666 2023 2312 3332 4046 6664 8092 12713 14161 16184 25426 28322 50852 56644 88991 101704 113288 177982 216121 355964 432242 622937 711928 864484 1245874 1512847 1728968 2491748 3025694 3674057 4983496 6051388 7348114 10589929 12102776 14696228 21179858 25718399 29392456 42359716 51436798 84719432 102873596 180028793 205747192 360057586 720115172 1440230344