Search a number
-
+
1004342432 = 25192227383
BaseRepresentation
bin111011110111010…
…000110010100000
32120222211212210212
4323313100302200
54024102424212
6243354313252
733613525022
oct7367206240
92528755725
101004342432
11475a1a375
12240428828
131300ca882
149755c012
155d28ce22
hex3bdd0ca0

1004342432 has 72 divisors (see below), whose sum is σ = 2101510656. Its totient is φ = 472408704.

The previous prime is 1004342401. The next prime is 1004342441. The reversal of 1004342432 is 2342434001.

1004342432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1004342398 and 1004342407.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2622113 + ... + 2622495.

It is an arithmetic number, because the mean of its divisors is an integer number (29187648).

Almost surely, 21004342432 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 1004342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050755328).

1004342432 is an abundant number, since it is smaller than the sum of its proper divisors (1097168224).

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

1004342432 is a wasteful number, since it uses less digits than its factorization.

1004342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1004342432 is about 31691.3621038920. The cubic root of 1004342432 is about 1001.4453871827.

Adding to 1004342432 its reverse (2342434001), we get a palindrome (3346776433).

The spelling of 1004342432 in words is "one billion, four million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 227 304 361 383 454 608 722 766 908 1444 1532 1816 2888 3064 3632 4313 5776 6128 7264 7277 8626 11552 12256 14554 17252 29108 34504 58216 69008 81947 86941 116432 138016 138263 163894 173882 232864 276526 327788 347764 553052 655576 695528 1106104 1311152 1391056 1651879 2212208 2622304 2782112 3303758 4424416 6607516 13215032 26430064 31385701 52860128 62771402 125542804 251085608 502171216 1004342432