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34030589157 = 3313711517993
BaseRepresentation
bin11111101100011000…
…011001010011100101
310020211122120001021000
4133230120121103211
51024143312323112
623344453343513
72313211143435
oct375430312345
9106748501230
1034030589157
1113483420354
126718937b99
1332944369b6
14190b8822c5
15d428e27dc
hex7ec6194e5

34030589157 has 32 divisors (see below), whose sum is σ = 50834165760. Its totient is φ = 22499078400.

The previous prime is 34030589119. The next prime is 34030589189. The reversal of 34030589157 is 75198503043.

34030589157 is a `hidden beast` number, since 34 + 0 + 30 + 589 + 1 + 5 + 7 = 666.

It is not a de Polignac number, because 34030589157 - 27 = 34030589029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34030589057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4253553 + ... + 4261545.

It is an arithmetic number, because the mean of its divisors is an integer number (1588567680).

Almost surely, 234030589157 is an apocalyptic number.

It is an amenable number.

34030589157 is a deficient number, since it is larger than the sum of its proper divisors (16803576603).

34030589157 is a wasteful number, since it uses less digits than its factorization.

34030589157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 34030589157 in words is "thirty-four billion, thirty million, five hundred eighty-nine thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 137 411 1151 1233 3453 3699 7993 10359 23979 31077 71937 157687 215811 473061 1095041 1419183 3285123 4257549 9199943 9855369 27599829 29566107 82799487 248398461 1260392191 3781176573 11343529719 34030589157