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345318396507 = 3375773166519
BaseRepresentation
bin1010000011001101001…
…01001001001001011011
31020000022211111002201000
411001212211021021123
521124203002142012
6422345335400043
733643211640330
oct5014645111133
91200284432630
10345318396507
111234a3261357
1256b12523023
13267429ac146
14129dbbb2987
158eb1041ddc
hex506694925b

345318396507 has 32 divisors (see below), whose sum is σ = 585679539200. Its totient is φ = 196982751744.

The previous prime is 345318396499. The next prime is 345318396509. The reversal of 345318396507 is 705693813543.

345318396507 is a `hidden beast` number, since 3 + 4 + 53 + 1 + 83 + 9 + 6 + 507 = 666.

It is not a de Polignac number, because 345318396507 - 23 = 345318396499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345318396509) 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 31 ways as a sum of consecutive naturals, for example, 1474207 + ... + 1692312.

It is an arithmetic number, because the mean of its divisors is an integer number (18302485600).

Almost surely, 2345318396507 is an apocalyptic number.

345318396507 is a deficient number, since it is larger than the sum of its proper divisors (240361142693).

345318396507 is a wasteful number, since it uses less digits than its factorization.

345318396507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167112 (or 3167106 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 345318396507 in words is "three hundred forty-five billion, three hundred eighteen million, three hundred ninety-six thousand, five hundred seven".

Divisors: 1 3 7 9 21 27 63 189 577 1731 4039 5193 12117 15579 36351 109053 3166519 9499557 22165633 28498671 66496899 85496013 199490697 598472091 1827081463 5481244389 12789570241 16443733167 38368710723 49331199501 115106132169 345318396507