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4054330340 = 2251797269457
BaseRepresentation
bin1111000110101000…
…0010101111100100
3101110112221022122222
43301222002233210
531300402032330
61510150211512
7202320145034
oct36152025744
911415838588
104054330340
1117a0622435
12951953b98
134c7c64b48
142a66578c4
1518ae080e5
hexf1a82be4

4054330340 has 96 divisors (see below), whose sum is σ = 9161722080. Its totient is φ = 1501691904.

The previous prime is 4054330307. The next prime is 4054330417. The reversal of 4054330340 is 430334504.

It is a happy number.

4054330340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 614742436 + 3439587904 = 24794^2 + 58648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8871392 + ... + 8871848.

It is an arithmetic number, because the mean of its divisors is an integer number (95434605).

Almost surely, 24054330340 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 4054330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580861040).

4054330340 is an abundant number, since it is smaller than the sum of its proper divisors (5107391740).

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

4054330340 is a wasteful number, since it uses less digits than its factorization.

4054330340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 4054330340 is about 63673.6235815114. The cubic root of 4054330340 is about 1594.5557591832. Note that the first 3 decimals are identical.

Adding to 4054330340 its reverse (430334504), we get a palindrome (4484664844).

The spelling of 4054330340 in words is "four billion, fifty-four million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 269 340 388 457 485 538 914 970 1076 1345 1649 1828 1940 2285 2690 3298 4570 4573 5380 6596 7769 8245 9140 9146 15538 16490 18292 22865 26093 31076 32980 38845 44329 45730 52186 77690 88658 91460 104372 122933 130465 155380 177316 221645 245866 260930 443290 443581 491732 521860 614665 753593 886580 887162 1229330 1507186 1774324 2089861 2217905 2458660 3014372 3767965 4179722 4435810 7535930 8359444 8871620 10449305 11924501 15071860 20898610 23849002 41797220 47698004 59622505 119245010 202716517 238490020 405433034 810866068 1013582585 2027165170 4054330340