Search a number
-
+
2328050640 = 243522942359
BaseRepresentation
bin1000101011000011…
…0011101111010000
320000020122020002210
42022300303233100
514231440110030
61023002112120
7111456050436
oct21260635720
96006566083
102328050640
11a9513a9a3
1254b7ab640
132b1416a76
14181290d56
15d95b2bb0
hex8ac33bd0

2328050640 has 80 divisors (see below), whose sum is σ = 7248643200. Its totient is φ = 618087936.

The previous prime is 2328050623. The next prime is 2328050657. The reversal of 2328050640 is 460508232.

It is an interprime number because it is at equal distance from previous prime (2328050623) and next prime (2328050657).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×23280506403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2328050598 and 2328050607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33781 + ... + 76139.

It is an arithmetic number, because the mean of its divisors is an integer number (90608040).

Almost surely, 22328050640 is an apocalyptic number.

2328050640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624321600).

2328050640 is an abundant number, since it is smaller than the sum of its proper divisors (4920592560).

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

2328050640 is a wasteful number, since it uses less digits than its factorization.

2328050640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42604 (or 42598 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2328050640 is about 48249.8770982891. The cubic root of 2328050640 is about 1325.3506872871.

Adding to 2328050640 its reverse (460508232), we get a palindrome (2788558872).

It can be divided in two parts, 23280 and 50640, that added together give a triangular number (73920 = T384).

The spelling of 2328050640 in words is "two billion, three hundred twenty-eight million, fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 458 687 916 1145 1374 1832 2290 2748 3435 3664 4580 5496 6870 9160 10992 13740 18320 27480 42359 54960 84718 127077 169436 211795 254154 338872 423590 508308 635385 677744 847180 1016616 1270770 1694360 2033232 2541540 3388720 5083080 9700211 10166160 19400422 29100633 38800844 48501055 58201266 77601688 97002110 116402532 145503165 155203376 194004220 232805064 291006330 388008440 465610128 582012660 776016880 1164025320 2328050640