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4077433341 = 3215716131789
BaseRepresentation
bin1111001100001000…
…1011000111111101
3101112011102002000200
43303002023013331
531322310331331
61512333314113
7203020416522
oct36302130775
911464362020
104077433341
111802672023
12959635939
134cc993767
142a974d149
1518ce6d5e6
hexf308b1fd

4077433341 has 24 divisors (see below), whose sum is σ = 5934129240. Its totient is φ = 2697791616.

The previous prime is 4077433331. The next prime is 4077433343. The reversal of 4077433341 is 1433347704.

It can be written as a sum of positive squares in 4 ways, for example, as 1389425625 + 2688007716 = 37275^2 + 51846^2 .

It is not a de Polignac number, because 4077433341 - 214 = 4077416957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4077433296 and 4077433305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077433343) 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, 2278275 + ... + 2280063.

It is an arithmetic number, because the mean of its divisors is an integer number (247255385).

Almost surely, 24077433341 is an apocalyptic number.

It is an amenable number.

4077433341 is a deficient number, since it is larger than the sum of its proper divisors (1856695899).

4077433341 is a wasteful number, since it uses less digits than its factorization.

4077433341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 4077433341 is about 63854.7832272571. The cubic root of 4077433341 is about 1597.5788042561.

The spelling of 4077433341 in words is "four billion, seventy-seven million, four hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 3 9 157 471 1413 1613 1789 4839 5367 14517 16101 253241 280873 759723 842619 2279169 2527857 2885657 8656971 25970913 453048149 1359144447 4077433341