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3766042341 = 322987716453
BaseRepresentation
bin1110000001111001…
…0011111011100101
3100201110110202212200
43200132103323211
530203101323331
61421411205113
7162216555165
oct34036237345
910643422780
103766042341
111662918396
128912a6799
13480307c29
1427a2525a5
1517095e5e6
hexe0793ee5

3766042341 has 24 divisors (see below), whose sum is σ = 5634178680. Its totient is φ = 2421207936.

The previous prime is 3766042337. The next prime is 3766042349. The reversal of 3766042341 is 1432406673.

It is a happy number.

3766042341 is a `hidden beast` number, since 3 + 7 + 6 + 604 + 2 + 3 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2108738241 + 1657304100 = 45921^2 + 40710^2 .

It is not a de Polignac number, because 3766042341 - 22 = 3766042337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3766042296 and 3766042305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766042349) 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, 220671 + ... + 237123.

It is an arithmetic number, because the mean of its divisors is an integer number (234757445).

Almost surely, 23766042341 is an apocalyptic number.

It is an amenable number.

3766042341 is a deficient number, since it is larger than the sum of its proper divisors (1868136339).

3766042341 is a wasteful number, since it uses less digits than its factorization.

3766042341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17365 (or 17362 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3766042341 is about 61368.0889469438. The cubic root of 3766042341 is about 1555.8285361041.

The spelling of 3766042341 in words is "three billion, seven hundred sixty-six million, forty-two thousand, three hundred forty-one".

Divisors: 1 3 9 29 87 261 877 2631 7893 16453 25433 49359 76299 148077 228897 477137 1431411 4294233 14429281 43287843 129863529 418449149 1255347447 3766042341