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34373740149 = 337245675689
BaseRepresentation
bin100000000000110101…
…011010011001110101
310021201120020220221000
4200000311122121311
51030344134141044
623442512313513
72324545653600
oct400065323165
9107646226830
1034373740149
111363a097811
1267b3842899
13331a562618
141941289337
15d62ac6d69
hex800d5a675

34373740149 has 48 divisors (see below), whose sum is σ = 59261577600. Its totient is φ = 19634384448.

The previous prime is 34373740147. The next prime is 34373740211. The reversal of 34373740149 is 94104737343.

34373740149 is a `hidden beast` number, since 3 + 437 + 3 + 74 + 0 + 149 = 666.

It is not a de Polignac number, because 34373740149 - 21 = 34373740147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34373740147) 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, 6039297 + ... + 6044985.

It is an arithmetic number, because the mean of its divisors is an integer number (1234616200).

Almost surely, 234373740149 is an apocalyptic number.

It is an amenable number.

34373740149 is a deficient number, since it is larger than the sum of its proper divisors (24887837451).

34373740149 is a wasteful number, since it uses less digits than its factorization.

34373740149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 34373740149 in words is "thirty-four billion, three hundred seventy-three million, seven hundred forty thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 4567 5689 13701 17067 31969 39823 41103 51201 95907 119469 123309 153603 223783 278761 287721 358407 671349 836283 863163 1075221 2014047 2508849 6042141 7526547 25981663 77944989 181871641 233834967 545614923 701504901 1273101487 1636844769 3819304461 4910534307 11457913383 34373740149