Search a number
-
+
1024040430 = 232571625461
BaseRepresentation
bin111101000010011…
…001110111101110
32122100220122101100
4331002121313232
54044123243210
6245340423530
734243125420
oct7502316756
92570818340
101024040430
11486053806
12246b47ba6
131342066aa
149a008810
155ed7e5c0
hex3d099dee

1024040430 has 48 divisors (see below), whose sum is σ = 3042864864. Its totient is φ = 234066240.

The previous prime is 1024040419. The next prime is 1024040443. The reversal of 1024040430 is 340404201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812101 + ... + 813360.

It is an arithmetic number, because the mean of its divisors is an integer number (63393018).

Almost surely, 21024040430 is an apocalyptic number.

1024040430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1024040430 is an abundant number, since it is smaller than the sum of its proper divisors (2018824434).

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

1024040430 is a wasteful number, since it uses less digits than its factorization.

1024040430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625481 (or 1625478 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1024040430 is about 32000.6317125147. The cubic root of 1024040430 is about 1007.9501050038.

Adding to 1024040430 its reverse (340404201), we get a palindrome (1364444631).

The spelling of 1024040430 in words is "one billion, twenty-four million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1625461 3250922 4876383 8127305 9752766 11378227 14629149 16254610 22756454 24381915 29258298 34134681 48763830 56891135 68269362 73145745 102404043 113782270 146291490 170673405 204808086 341346810 512020215 1024040430