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4034040340 = 2251120179091
BaseRepresentation
bin1111000001110010…
…1001001000010100
3101102010202111000111
43300130221020110
531230203242330
61504143252404
7201652530361
oct36034511024
911363674014
104034040340
111790124240
12946baa104
134c39ac725
142a3a95468
1518924b32a
hexf0729214

4034040340 has 48 divisors (see below), whose sum is σ = 9247218624. Its totient is φ = 1466035200.

The previous prime is 4034040317. The next prime is 4034040343. The reversal of 4034040340 is 430404304.

It is a happy number.

It is a super-3 number, since 3×40340403403 (a number of 30 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (4034040343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439195 + ... + 448285.

It is an arithmetic number, because the mean of its divisors is an integer number (192650388).

Almost surely, 24034040340 is an apocalyptic number.

It is an amenable number.

4034040340 is an abundant number, since it is smaller than the sum of its proper divisors (5213178284).

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

4034040340 is a wasteful number, since it uses less digits than its factorization.

4034040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128 (or 11126 counting only the distinct ones).

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

The square root of 4034040340 is about 63514.0956008979. The cubic root of 4034040340 is about 1591.8913110860.

Adding to 4034040340 its reverse (430404304), we get a palindrome (4464444644).

The spelling of 4034040340 in words is "four billion, thirty-four million, forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2017 4034 8068 9091 10085 18182 20170 22187 36364 40340 44374 45455 88748 90910 100001 110935 181820 200002 221870 400004 443740 500005 1000010 2000020 18336547 36673094 73346188 91682735 183365470 201702017 366730940 403404034 806808068 1008510085 2017020170 4034040340