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1024013344 = 25612272311
BaseRepresentation
bin111101000010010…
…011010000100000
32122100212021020011
4331002103100200
54044121411334
6245340054304
734242653434
oct7502232040
92570767204
101024013344
11486035422
12246b34394
131341c7273
1499ddc9c4
155ed76564
hex3d093420

1024013344 has 48 divisors (see below), whose sum is σ = 2058993216. Its totient is φ = 501177600.

The previous prime is 1024013339. The next prime is 1024013357. The reversal of 1024013344 is 4433104201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441949 + ... + 444259.

It is an arithmetic number, because the mean of its divisors is an integer number (42895692).

Almost surely, 21024013344 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 1024013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029496608).

1024013344 is an abundant number, since it is smaller than the sum of its proper divisors (1034979872).

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

1024013344 is a wasteful number, since it uses less digits than its factorization.

1024013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1024013344 is about 32000.2084993208. The cubic root of 1024013344 is about 1007.9412181225.

Adding to 1024013344 its reverse (4433104201), we get a palindrome (5457117545).

The spelling of 1024013344 in words is "one billion, twenty-four million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 227 244 454 488 908 976 1816 1952 2311 3632 4622 7264 9244 13847 18488 27694 36976 55388 73952 110776 140971 221552 281942 443104 524597 563884 1049194 1127768 2098388 2255536 4196776 4511072 8393552 16787104 32000417 64000834 128001668 256003336 512006672 1024013344