Search a number
-
+
1024133344 = 25134575387
BaseRepresentation
bin111101000010110…
…000100011100000
32122101002100211121
4331002300203200
54044134231334
6245342422024
734243663333
oct7502604340
92571070747
101024133344
114861075a3
12246b91914
13134239a80
149a03061a
155ed9bdb4
hex3d0b08e0

1024133344 has 48 divisors (see below), whose sum is σ = 2176514928. Its totient is φ = 471555072.

The previous prime is 1024133339. The next prime is 1024133377. The reversal of 1024133344 is 4433314201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187419 + ... + 192805.

It is an arithmetic number, because the mean of its divisors is an integer number (45344061).

Almost surely, 21024133344 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 1024133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088257464).

1024133344 is an abundant number, since it is smaller than the sum of its proper divisors (1152381584).

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

1024133344 is a wasteful number, since it uses less digits than its factorization.

1024133344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1024133344 is about 32002.0834321767. The cubic root of 1024133344 is about 1007.9805887754.

Adding to 1024133344 its reverse (4433314201), we get a palindrome (5457447545).

The spelling of 1024133344 in words is "one billion, twenty-four million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 457 914 1828 3656 5387 5941 7312 10774 11882 14624 21548 23764 43096 47528 70031 86192 95056 140062 172384 190112 280124 560248 1120496 2240992 2461859 4923718 9847436 19694872 32004167 39389744 64008334 78779488 128016668 256033336 512066672 1024133344