Search a number
-
+
345636344067 = 37172933385139
BaseRepresentation
bin1010000011110011000…
…10000001000100000011
31020001010222202111202120
411001321202001010003
521130330401002232
6422441054215323
733654122310210
oct5017142010403
91201128674676
10345636344067
11123646784033
1256ba0ab4543
13267938220b1
1412a2c0d8b07
158ecdde892c
hex5079881103

345636344067 has 32 divisors (see below), whose sum is σ = 576895219200. Its totient is φ = 179478501888.

The previous prime is 345636344057. The next prime is 345636344071. The reversal of 345636344067 is 760443636543.

It is not a de Polignac number, because 345636344067 - 219 = 345635819779 is a prime.

It is a super-2 number, since 2×3456363440672 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (345636344057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16682217 + ... + 16702922.

It is an arithmetic number, because the mean of its divisors is an integer number (18027975600).

Almost surely, 2345636344067 is an apocalyptic number.

345636344067 is a deficient number, since it is larger than the sum of its proper divisors (231258875133).

345636344067 is a wasteful number, since it uses less digits than its factorization.

345636344067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33385195.

The product of its (nonzero) digits is 13063680, while the sum is 51.

The spelling of 345636344067 in words is "three hundred forty-five billion, six hundred thirty-six million, three hundred forty-four thousand, sixty-seven".

Divisors: 1 3 7 17 21 29 51 87 119 203 357 493 609 1479 3451 10353 33385139 100155417 233695973 567547363 701087919 968169031 1702642089 2904507093 3972831541 6777183217 11918494623 16458873527 20331549651 49376620581 115212114689 345636344067