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1024683424 = 25316311637
BaseRepresentation
bin111101000100110…
…110110110100000
32122102010022101221
4331010312312200
54044304332144
6245402304424
734251444142
oct7504666640
92572108357
101024683424
11486452906
122471b8114
131343a026b
149a134c92
155ee59d84
hex3d136da0

1024683424 has 48 divisors (see below), whose sum is σ = 2086995456. Its totient is φ = 494726400.

The previous prime is 1024683403. The next prime is 1024683427. The reversal of 1024683424 is 4243864201.

1024683424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10246834242 = 2099952238840727552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1024683424.

It is not an unprimeable number, because it can be changed into a prime (1024683427) 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, 625134 + ... + 626770.

It is an arithmetic number, because the mean of its divisors is an integer number (43479072).

Almost surely, 21024683424 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 1024683424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043497728).

1024683424 is an abundant number, since it is smaller than the sum of its proper divisors (1062312032).

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

1024683424 is a wasteful number, since it uses less digits than its factorization.

1024683424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 1024683424 is about 32010.6767188699. The cubic root of 1024683424 is about 1008.1610244981.

The spelling of 1024683424 in words is "one billion, twenty-four million, six hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 631 992 1262 1637 2524 3274 5048 6548 10096 13096 19561 20192 26192 39122 50747 52384 78244 101494 156488 202988 312976 405976 625952 811952 1032947 1623904 2065894 4131788 8263576 16527152 32021357 33054304 64042714 128085428 256170856 512341712 1024683424