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345044332611 = 321137528117837
BaseRepresentation
bin1010000010101100011…
…11101011000001000011
31012222121201210012201100
411001112033223001003
521123122322120421
6422302225305443
733633343302246
oct5012617530103
91188551705640
10345044332611
11123372592070
1256a56795283
13266cac92664
14129b363125d
158e96e57c26
hex50563eb043

345044332611 has 48 divisors (see below), whose sum is σ = 558538033248. Its totient is φ = 203416012800.

The previous prime is 345044332601. The next prime is 345044332657. The reversal of 345044332611 is 116233440543.

345044332611 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 4 + 4 + 3 + 32 + 611 = 666.

It is not a de Polignac number, because 345044332611 - 26 = 345044332547 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345044332601) 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 47 ways as a sum of consecutive naturals, for example, 19335385 + ... + 19353221.

It is an arithmetic number, because the mean of its divisors is an integer number (11636209026).

Almost surely, 2345044332611 is an apocalyptic number.

345044332611 is a deficient number, since it is larger than the sum of its proper divisors (213493700637).

345044332611 is a wasteful number, since it uses less digits than its factorization.

345044332611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23172 (or 23169 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 345044332611 in words is "three hundred forty-five billion, forty-four million, three hundred thirty-two thousand, six hundred eleven".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 5281 15843 17837 47529 53511 58091 160533 174273 195397 196207 522819 586191 588621 659969 1758573 1765863 1979907 2149367 5939721 6448101 7259659 19344303 21778977 65336931 94197197 282591591 847774773 1036169167 3108507501 3485296289 9325522503 10455888867 31367666601 38338259179 115014777537 345044332611