Search a number
-
+
3040335100 = 2252113597699
BaseRepresentation
bin1011010100110111…
…1101010011111100
321211212221000200201
42311031331103330
522211311210400
61221404533244
7135225264505
oct26515752374
97755830621
103040335100
11132020a840
1270a251224
13395b6776a
1420bb05bac
1512bdb006a
hexb537d4fc

3040335100 has 72 divisors (see below), whose sum is σ = 7218288000. Its totient is φ = 1102353600.

The previous prime is 3040335071. The next prime is 3040335101. The reversal of 3040335100 is 15330403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040335101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391051 + ... + 398749.

It is an arithmetic number, because the mean of its divisors is an integer number (100254000).

Almost surely, 23040335100 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 3040335100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609144000).

3040335100 is an abundant number, since it is smaller than the sum of its proper divisors (4177952900).

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

3040335100 is a wasteful number, since it uses less digits than its factorization.

3040335100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 3040335100 is about 55139.2337632652. The cubic root of 3040335100 is about 1448.6845144021.

Adding to 3040335100 its reverse (15330403), we get a palindrome (3055665503).

The spelling of 3040335100 in words is "three billion, forty million, three hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 359 550 718 1100 1436 1795 3590 3949 7180 7699 7898 8975 15398 15796 17950 19745 30796 35900 38495 39490 76990 78980 84689 98725 153980 169378 192475 197450 338756 384950 394900 423445 769900 846890 1693780 2117225 2763941 4234450 5527882 8468900 11055764 13819705 27639410 30403351 55278820 60806702 69098525 121613404 138197050 152016755 276394100 304033510 608067020 760083775 1520167550 3040335100