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34254005313 = 31121729277691
BaseRepresentation
bin11111111001101100…
…101010010001000001
310021102012221202121110
4133321230222101001
51030123011132223
623422554113533
72321563145463
oct377154522101
9107365852543
1034254005313
1113588547200
12677b71b8a9
1332cb7cc2c8
14192d3dc133
15d57324d93
hex7f9b2a441

34254005313 has 96 divisors (see below), whose sum is σ = 55265777280. Its totient is φ = 18769766400.

The previous prime is 34254005287. The next prime is 34254005321. The reversal of 34254005313 is 31350045243.

It is not a de Polignac number, because 34254005313 - 26 = 34254005249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34254005393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49571298 + ... + 49571988.

It is an arithmetic number, because the mean of its divisors is an integer number (575685180).

Almost surely, 234254005313 is an apocalyptic number.

34254005313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34254005313 is a deficient number, since it is larger than the sum of its proper divisors (21011771967).

34254005313 is a wasteful number, since it uses less digits than its factorization.

34254005313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 34254005313 in words is "thirty-four billion, two hundred fifty-four million, five thousand, three hundred thirteen".

Divisors: 1 3 11 17 29 33 51 87 121 187 277 319 363 493 561 691 831 957 1479 2057 2073 3047 3509 4709 5423 6171 7601 8033 9141 10527 11747 14127 16269 20039 22803 24099 33517 35241 51799 59653 60117 83611 88363 100551 129217 136561 155397 178959 191407 220429 250833 265089 340663 387651 409683 569789 574221 661287 971993 1021989 1421387 1502171 1709367 2105477 2424719 2915979 3253919 3747293 4264161 4506513 5550803 6316431 7274157 9761757 11241879 16523881 16652409 23160247 35793109 41220223 49571643 61058833 69480741 94363651 107379327 123660669 183176499 283090953 393724199 671647163 1038000161 1181172597 2014941489 3114000483 11418001771 34254005313