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440103344 = 241723103683
BaseRepresentation
bin11010001110110…
…111000110110000
31010200010120021212
4122032313012300
51400131301334
6111400535252
713622550062
oct3216670660
91120116255
10440103344
1120647717a
12103481528
13702431a5
1442643732
1528985ece
hex1a3b71b0

440103344 has 80 divisors (see below), whose sum is σ = 952653312. Its totient is φ = 195892224.

The previous prime is 440103343. The next prime is 440103379. The reversal of 440103344 is 443301044.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (440103343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644027 + ... + 644709.

Almost surely, 2440103344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476326656).

440103344 is an abundant number, since it is smaller than the sum of its proper divisors (512549968).

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

440103344 is a wasteful number, since it uses less digits than its factorization.

440103344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 440103344 is about 20978.6401847212. The cubic root of 440103344 is about 760.6500348119.

Adding to 440103344 its reverse (443301044), we get a palindrome (883404388).

The spelling of 440103344 in words is "four hundred forty million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 103 136 184 206 272 368 391 412 683 782 824 1366 1564 1648 1751 2369 2732 3128 3502 4738 5464 6256 7004 9476 10928 11611 14008 15709 18952 23222 28016 31418 37904 40273 46444 62836 70349 80546 92888 125672 140698 161092 185776 251344 267053 281396 322184 534106 562792 644368 1068212 1125584 1195933 1618027 2136424 2391866 3236054 4272848 4783732 6472108 9567464 12944216 19134928 25888432 27506459 55012918 110025836 220051672 440103344