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345464740593 = 32717631511193
BaseRepresentation
bin1010000011011110100…
…11011001101011110001
31020000201000212011001100
411001233103121223301
521130002433144333
6422412044155013
733646636562430
oct5015723315361
91200630764040
10345464740593
11123568926885
1256b53538a69
13267670cac8b
1412a133c9117
158ebdced213
hex506f4d9af1

345464740593 has 48 divisors (see below), whose sum is σ = 604795666176. Its totient is φ = 185501352960.

The previous prime is 345464740589. The next prime is 345464740613. The reversal of 345464740593 is 395047464543.

345464740593 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 6 + 4 + 7 + 40 + 593 = 666.

It is not a de Polignac number, because 345464740593 - 22 = 345464740589 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345464740793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420205 + ... + 931397.

It is an arithmetic number, because the mean of its divisors is an integer number (12599909712).

Almost surely, 2345464740593 is an apocalyptic number.

It is an amenable number.

345464740593 is a deficient number, since it is larger than the sum of its proper divisors (259330925583).

345464740593 is a wasteful number, since it uses less digits than its factorization.

345464740593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511854 (or 511851 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 345464740593 in words is "three hundred forty-five billion, four hundred sixty-four million, seven hundred forty thousand, five hundred ninety-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 631 1071 1893 4417 5679 10727 13251 32181 39753 75089 96543 225267 511193 675801 1533579 3578351 4600737 8690281 10735053 26070843 32205159 60831967 78212529 182495901 322562783 547487703 967688349 2257939481 2903065047 5483567311 6773818443 16450701933 20321455329 38384971177 49352105799 115154913531 345464740593