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345405749297 = 7196743389519
BaseRepresentation
bin1010000011010111100…
…10010111100000110001
31020000112220212002012112
411001223302113200301
521124342332434142
6422402135535105
733645322266230
oct5015362274061
91200486762175
10345405749297
111235385a4844
1256b3782a495
1326757b1519b
1412a09630b17
158eb8a49382
hex506bc97831

345405749297 has 32 divisors (see below), whose sum is σ = 422706278400. Its totient is φ = 275652419328.

The previous prime is 345405749281. The next prime is 345405749321. The reversal of 345405749297 is 792947504543.

It is a cyclic number.

It is not a de Polignac number, because 345405749297 - 24 = 345405749281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345405749207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3813704 + ... + 3903222.

It is an arithmetic number, because the mean of its divisors is an integer number (13209571200).

Almost surely, 2345405749297 is an apocalyptic number.

It is an amenable number.

345405749297 is a deficient number, since it is larger than the sum of its proper divisors (77300529103).

345405749297 is a wasteful number, since it uses less digits than its factorization.

345405749297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90045.

The product of its (nonzero) digits is 38102400, while the sum is 59.

The spelling of 345405749297 in words is "three hundred forty-five billion, four hundred five million, seven hundred forty-nine thousand, two hundred ninety-seven".

Divisors: 1 7 19 67 133 433 469 1273 3031 8227 8911 29011 57589 89519 203077 551209 626633 1700861 3858463 5997773 11906027 38761727 41984411 113957687 271332089 736472813 797703809 2597035709 5155309691 18179249963 49343678471 345405749297