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1024243104 = 25323944641
BaseRepresentation
bin111101000011001…
…011010110100000
32122101021221101210
4331003023112200
54044201234404
6245345030120
734244631333
oct7503132640
92571257353
101024243104
11486182005
12247025340
13134277a11
149a05c61a
155edbe689
hex3d0cb5a0

1024243104 has 48 divisors (see below), whose sum is σ = 2699948160. Its totient is φ = 339978240.

The previous prime is 1024243097. The next prime is 1024243109. The reversal of 1024243104 is 4013424201.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1024243109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624 + ... + 45264.

It is an arithmetic number, because the mean of its divisors is an integer number (56248920).

Almost surely, 21024243104 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 1024243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349974080).

1024243104 is an abundant number, since it is smaller than the sum of its proper divisors (1675705056).

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

1024243104 is a wasteful number, since it uses less digits than its factorization.

1024243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44893 (or 44885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1024243104 is about 32003.7982745798. The cubic root of 1024243104 is about 1008.0165971064.

Adding to 1024243104 its reverse (4013424201), we get a palindrome (5037667305).

The spelling of 1024243104 in words is "one billion, twenty-four million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 44641 89282 133923 178564 267846 357128 535692 714256 1071384 1428512 2142768 4285536 10669199 21338398 32007597 42676796 64015194 85353592 128030388 170707184 256060776 341414368 512121552 1024243104