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34193857243 = 71319316071051
BaseRepresentation
bin11111110110000111…
…001101101011011011
310021021000202220222011
4133312013031223123
51030012111412433
623413005010351
72320232663620
oct376607155333
9107230686864
1034193857243
11135575a5057
1267635539b7
1332bc1ccb30
141925422347
15d51de33cd
hex7f61cdadb

34193857243 has 64 divisors (see below), whose sum is σ = 45847674880. Its totient is φ = 24739344000.

The previous prime is 34193857231. The next prime is 34193857249. The reversal of 34193857243 is 34275839143.

It is not a de Polignac number, because 34193857243 - 221 = 34191760091 is a prime.

It is a super-2 number, since 2×341938572432 (a number of 22 digits) contains 22 as substring.

Its product of digits (2177280) is a multiple of the sum of its prime divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (34193857249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32534068 + ... + 32535118.

It is an arithmetic number, because the mean of its divisors is an integer number (716369920).

Almost surely, 234193857243 is an apocalyptic number.

34193857243 is a deficient number, since it is larger than the sum of its proper divisors (11653817637).

34193857243 is a wasteful number, since it uses less digits than its factorization.

34193857243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728.

The product of its digits is 2177280, while the sum is 49.

The spelling of 34193857243 in words is "thirty-four billion, one hundred ninety-three million, eight hundred fifty-seven thousand, two hundred forty-three".

Divisors: 1 7 13 19 31 91 133 217 247 403 589 607 1051 1729 2821 4123 4249 7357 7657 7891 11533 13663 18817 19969 32581 53599 55237 80731 95641 131719 139783 149929 228067 244621 259597 357523 423553 619039 637957 1049503 1712347 1817179 2502661 2964871 4333273 4465699 4647799 8047507 8293441 12121183 19776667 32534593 56332549 58054087 84848281 138436669 157575379 257096671 375756673 1103027653 1799676697 2630296711 4884836749 34193857243