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345004505523 = 3429146872927
BaseRepresentation
bin1010000010100111101…
…11101111100110110011
31012222111221211210020000
411001103313233212303
521123032123134043
6422254243521043
733632350624266
oct5012367574663
91188457753200
10345004505523
1112335205a417
1256a45389183
13266c2959732
14129ac224cdd
158e936dc2d3
hex5053def9b3

345004505523 has 20 divisors (see below), whose sum is σ = 533148728640. Its totient is φ = 222071864112.

The previous prime is 345004505519. The next prime is 345004505537. The reversal of 345004505523 is 325505400543.

345004505523 is a `hidden beast` number, since 3 + 4 + 50 + 0 + 4 + 50 + 552 + 3 = 666.

It is not a de Polignac number, because 345004505523 - 22 = 345004505519 is a prime.

It is a super-3 number, since 3×3450045055233 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345004505513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73434115 + ... + 73438812.

It is an arithmetic number, because the mean of its divisors is an integer number (26657436432).

Almost surely, 2345004505523 is an apocalyptic number.

345004505523 is a deficient number, since it is larger than the sum of its proper divisors (188144223117).

345004505523 is a wasteful number, since it uses less digits than its factorization.

345004505523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146872968 (or 146872959 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 345004505523 in words is "three hundred forty-five billion, four million, five hundred five thousand, five hundred twenty-three".

Divisors: 1 3 9 27 29 81 87 261 783 2349 146872927 440618781 1321856343 3965569029 4259314883 11896707087 12777944649 38333833947 115001501841 345004505523