Search a number
-
+
2411300034 = 23211137611231
BaseRepresentation
bin1000111110111001…
…1000010011000010
320020001021201210200
42033232120103002
514414243100114
61035134310030
7113516466153
oct21756302302
96201251720
102411300034
111028130450
12573658316
132c5744170
1418c36192a
15e1a59409
hex8fb984c2

2411300034 has 96 divisors (see below), whose sum is σ = 6150912768. Its totient is φ = 673056000.

The previous prime is 2411299999. The next prime is 2411300057. The reversal of 2411300034 is 4300031142.

It is a super-4 number, since 4×24113000344 (a number of 39 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1958199 + ... + 1959429.

It is an arithmetic number, because the mean of its divisors is an integer number (64072008).

Almost surely, 22411300034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2411300034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075456384).

2411300034 is an abundant number, since it is smaller than the sum of its proper divisors (3739612734).

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

2411300034 is a wasteful number, since it uses less digits than its factorization.

2411300034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2411300034 is about 49104.9899093768. The cubic root of 2411300034 is about 1340.9638928798.

Adding to 2411300034 its reverse (4300031142), we get a palindrome (6711331176).

The spelling of 2411300034 in words is "two billion, four hundred eleven million, three hundred thousand, thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 761 858 1231 1287 1522 2283 2462 2574 3693 4566 6849 7386 8371 9893 11079 13541 13698 16003 16742 19786 22158 25113 27082 29679 32006 40623 48009 50226 59358 75339 81246 89037 96018 108823 121869 144027 150678 176033 178074 217646 243738 288054 326469 352066 528099 652938 936791 979407 1056198 1584297 1873582 1958814 2810373 3168594 5620746 8431119 10304701 12178283 16862238 20609402 24356566 30914103 36534849 61828206 73069698 92742309 109604547 133961113 185484618 219209094 267922226 401883339 803766678 1205650017 2411300034