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34026103449 = 32131755730713
BaseRepresentation
bin11111101100000111…
…010010001010011001
310020211100010011000200
4133230013102022121
51024141140302244
623344213252413
72313125051532
oct375407221231
9106740104020
1034026103449
1113480937158
126717334109
133293526030
14190b035689
15d42308669
hex7ec1d2299

34026103449 has 48 divisors (see below), whose sum is σ = 56145437712. Its totient is φ = 19671404544.

The previous prime is 34026103439. The next prime is 34026103451. The reversal of 34026103449 is 94430162043.

It is a happy number.

34026103449 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 610 + 34 + 4 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 113039424 + 33913064025 = 10632^2 + 184155^2 .

It is not a de Polignac number, because 34026103449 - 215 = 34026070681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34026103439) 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, 1092517 + ... + 1123229.

It is an arithmetic number, because the mean of its divisors is an integer number (1169696619).

Almost surely, 234026103449 is an apocalyptic number.

34026103449 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34026103449 is a deficient number, since it is larger than the sum of its proper divisors (22119334263).

34026103449 is a wasteful number, since it uses less digits than its factorization.

34026103449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31306 (or 31303 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34026103449 in words is "thirty-four billion, twenty-six million, one hundred three thousand, four hundred forty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 557 663 1671 1989 5013 7241 9469 21723 28407 30713 65169 85221 92139 123097 276417 369291 399269 522121 1107873 1197807 1566363 3593421 4699089 6787573 17107141 20362719 51321423 61088157 153964269 222392833 290821397 667178499 872464191 2001535497 2617392573 3780678161 11342034483 34026103449