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34070037345 = 37527111497
BaseRepresentation
bin11111101110101110…
…111000001101100001
310020221101210020000000
4133232232320031201
51024233412143340
623352423050213
72314200352641
oct375656701541
9106841706000
1034070037345
11134a3714363
126729ba0969
13329c669316
141912bd0521
15d460d5d30
hex7eebb8361

34070037345 has 64 divisors (see below), whose sum is σ = 61548334080. Its totient is φ = 18102061440.

The previous prime is 34070037341. The next prime is 34070037367. The reversal of 34070037345 is 54373007043.

It is not a de Polignac number, because 34070037345 - 22 = 34070037341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34070037341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2957637 + ... + 2969133.

It is an arithmetic number, because the mean of its divisors is an integer number (961692720).

Almost surely, 234070037345 is an apocalyptic number.

It is an amenable number.

34070037345 is a deficient number, since it is larger than the sum of its proper divisors (27478296735).

34070037345 is an equidigital number, since it uses as much as digits as its factorization.

34070037345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794 (or 11776 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The spelling of 34070037345 in words is "thirty-four billion, seventy million, thirty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 271 405 729 813 1215 1355 2187 2439 3645 4065 7317 10935 11497 12195 21951 34491 36585 57485 65853 103473 109755 172455 197559 310419 329265 517365 592677 931257 987795 1552095 2793771 2963385 3115687 4656285 8381313 9347061 13968855 15578435 25143939 28041183 41906565 46735305 84123549 125719695 140205915 252370647 420617745 757111941 1261853235 2271335823 3785559705 6814007469 11356679115 34070037345