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340076313 = 38173049
BaseRepresentation
bin10100010001010…
…010011100011001
3212200220200000000
4110101102130121
51144024420223
653425003213
711266413063
oct2421223431
9780820000
10340076313
11164a67405
1295a83509
13555c02b5
1433246733
151ecc8543
hex14452719

340076313 has 36 divisors (see below), whose sum is σ = 540270900. Its totient is φ = 213311232.

The previous prime is 340076273. The next prime is 340076327. The reversal of 340076313 is 313670043.

It is a happy number.

340076313 is a `hidden beast` number, since 340 + 0 + 7 + 6 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143712144 + 196364169 = 11988^2 + 14013^2 .

It is not a de Polignac number, because 340076313 - 213 = 340068121 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340076713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110013 + ... + 113061.

It is an arithmetic number, because the mean of its divisors is an integer number (15007525).

Almost surely, 2340076313 is an apocalyptic number.

It is an amenable number.

340076313 is a deficient number, since it is larger than the sum of its proper divisors (200194587).

340076313 is an frugal number, since it uses more digits than its factorization.

340076313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 340076313 is about 18441.1581252371. The cubic root of 340076313 is about 698.0054193168.

The spelling of 340076313 in words is "three hundred forty million, seventy-six thousand, three hundred thirteen".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 2187 3049 4131 6561 9147 12393 27441 37179 51833 82323 111537 155499 246969 466497 740907 1399491 2222721 4198473 6668163 12595419 20004489 37786257 113358771 340076313