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3404736441 = 32378304049
BaseRepresentation
bin1100101011110000…
…0010011110111001
322210021121112100200
43022330002132321
523433103031231
61321503152413
7150241532211
oct31274023671
98707545320
103404736441
111497980977
127b02a5709
134234c3962
14244281241
1514dd90be6
hexcaf027b9

3404736441 has 6 divisors (see below), whose sum is σ = 4917952650. Its totient is φ = 2269824288.

The previous prime is 3404736427. The next prime is 3404736457. The reversal of 3404736441 is 1446374043.

3404736441 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 7 + 3 + 644 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3090915216 + 313821225 = 55596^2 + 17715^2 .

It is a de Polignac number, because none of the positive numbers 2k-3404736441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3404736396 and 3404736405.

It is not an unprimeable number, because it can be changed into a prime (3404736641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 189152016 + ... + 189152033.

It is an arithmetic number, because the mean of its divisors is an integer number (819658775).

Almost surely, 23404736441 is an apocalyptic number.

It is an amenable number.

3404736441 is a deficient number, since it is larger than the sum of its proper divisors (1513216209).

3404736441 is a wasteful number, since it uses less digits than its factorization.

3404736441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378304055 (or 378304052 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3404736441 is about 58350.1194600320. The cubic root of 3404736441 is about 1504.3925232706.

The spelling of 3404736441 in words is "three billion, four hundred four million, seven hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 3 9 378304049 1134912147 3404736441