Search a number
-
+
4030440304 = 241122299091
BaseRepresentation
bin1111000000111011…
…1010001101110000
3101101212222120200211
43300032322031300
531223243042204
61503534153504
7201610114552
oct36016721560
911355876624
104030440304
111789095500
12945952894
134c301bc27
142a33d94d2
15188c89804
hexf03ba370

4030440304 has 60 divisors (see below), whose sum is σ = 8621852680. Its totient is φ = 1823817600.

The previous prime is 4030440299. The next prime is 4030440319.

It is a happy number.

4030440304 is nontrivially palindromic in base 10.

4030440304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40304403042 = 32488898088215224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 438799 + ... + 447889.

Almost surely, 24030440304 is an apocalyptic number.

4030440304 is a gapful number since it is divisible by the number (44) 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 4030440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310926340).

4030440304 is an abundant number, since it is smaller than the sum of its proper divisors (4591412376).

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

4030440304 is a wasteful number, since it uses less digits than its factorization.

4030440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4030440304 is about 63485.7488260161. The cubic root of 4030440304 is about 1591.4176278669.

It can be divided in two parts, 40304 and 40304, that added together give a palindrome (80608).

The spelling of 4030440304 in words is "four billion, thirty million, four hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 229 242 458 484 916 968 1832 1936 2519 3664 5038 9091 10076 18182 20152 27709 36364 40304 55418 72728 100001 110836 145456 200002 221672 400004 443344 800008 1100011 1600016 2081839 2200022 4163678 4400044 8327356 8800088 16654712 17600176 22900229 33309424 45800458 91600916 183201832 251902519 366403664 503805038 1007610076 2015220152 4030440304