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1024103444 = 2271326910459
BaseRepresentation
bin111101000010101…
…001010000010100
32122101000211211012
4331002221100110
54044132302234
6245342031352
734243510220
oct7502512024
92571024735
101024103444
11486097091
12246b78558
13134229290
149a023780
155ed930ce
hex3d0a9414

1024103444 has 48 divisors (see below), whose sum is σ = 2214172800. Its totient is φ = 403595136.

The previous prime is 1024103413. The next prime is 1024103449. The reversal of 1024103444 is 4443014201.

It is a happy number.

It is a super-2 number, since 2×10241034442 = 2097575728025322272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024103449) 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, 92687 + ... + 103145.

It is an arithmetic number, because the mean of its divisors is an integer number (46128600).

Almost surely, 21024103444 is an apocalyptic number.

1024103444 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 1024103444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107086400).

1024103444 is an abundant number, since it is smaller than the sum of its proper divisors (1190069356).

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

1024103444 is a wasteful number, since it uses less digits than its factorization.

1024103444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1024103444 is about 32001.6162716823. The cubic root of 1024103444 is about 1007.9707792088.

Adding to 1024103444 its reverse (4443014201), we get a palindrome (5467117645).

The spelling of 1024103444 in words is "one billion, twenty-four million, one hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 269 364 538 1076 1883 3497 3766 6994 7532 10459 13988 20918 24479 41836 48958 73213 97916 135967 146426 271934 292852 543868 951769 1903538 2813471 3807076 5626942 11253884 19694297 36575123 39388594 73150246 78777188 146300492 256025861 512051722 1024103444