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340005661 = 17414797107
BaseRepresentation
bin10100010001000…
…001001100011101
3212200210002002021
4110101001030131
51144020140121
653423300141
711266000102
oct2421011435
9780702067
10340005661
11164a19316
1295a4a651
13555970a8
1433228aa9
151ecb2641
hex1444131d

340005661 has 32 divisors (see below), whose sum is σ = 384072192. Its totient is φ = 299581440.

The previous prime is 340005607. The next prime is 340005671. The reversal of 340005661 is 166500043.

It is a cyclic number.

It is not a de Polignac number, because 340005661 - 223 = 331617053 is a prime.

It is a Duffinian number.

340005661 is a modest number, since divided by 5661 gives 340 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340005671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3177570 + ... + 3177676.

It is an arithmetic number, because the mean of its divisors is an integer number (12002256).

Almost surely, 2340005661 is an apocalyptic number.

It is an amenable number.

340005661 is a deficient number, since it is larger than the sum of its proper divisors (44066531).

340005661 is a wasteful number, since it uses less digits than its factorization.

340005661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 340005661 is about 18439.2424193620. The cubic root of 340005661 is about 697.9570783097.

The spelling of 340005661 in words is "three hundred forty million, five thousand, six hundred sixty-one".

Divisors: 1 17 41 47 97 107 697 799 1649 1819 1927 3977 4387 4559 5029 10379 32759 67609 74579 77503 85493 176443 186919 206189 425539 487813 3177623 3505213 7234163 8292821 20000333 340005661