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34274852241 = 3723435983337
BaseRepresentation
bin11111111010111100…
…001011110110010001
310021110200011220012220
4133322330023312101
51030143330232431
623425021011253
72322235302630
oct377274136621
9107420156186
1034274852241
1113599295873
1267866b3b29
133302c1b076
1419320a7517
15d59091b96
hex7faf0bd91

34274852241 has 128 divisors (see below), whose sum is σ = 57565347840. Its totient is φ = 17718801408.

The previous prime is 34274852237. The next prime is 34274852251. The reversal of 34274852241 is 14225847243.

It is a happy number.

It is not a de Polignac number, because 34274852241 - 22 = 34274852237 is a prime.

It is a super-2 number, since 2×342748522412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34274852193 and 34274852202.

It is not an unprimeable number, because it can be changed into a prime (34274852251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101705625 + ... + 101705961.

It is an arithmetic number, because the mean of its divisors is an integer number (449729280).

Almost surely, 234274852241 is an apocalyptic number.

It is an amenable number.

34274852241 is a deficient number, since it is larger than the sum of its proper divisors (23290495599).

34274852241 is a wasteful number, since it uses less digits than its factorization.

34274852241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555.

The product of its digits is 430080, while the sum is 42.

The spelling of 34274852241 in words is "thirty-four billion, two hundred seventy-four million, eight hundred fifty-two thousand, two hundred forty-one".

Divisors: 1 3 7 21 23 43 59 69 83 129 161 177 249 301 337 413 483 581 903 989 1011 1239 1357 1743 1909 2359 2537 2967 3569 4071 4897 5727 6923 7077 7611 7751 9499 10707 13363 14491 14691 17759 19883 20769 23253 24983 27971 28497 34279 40089 43473 53277 54257 58351 59649 74949 82087 83913 101437 102837 112631 139181 162771 175053 195797 210571 246261 304311 333293 337893 408457 417543 457309 574609 587391 631713 643333 788417 854969 999879 1202753 1225371 1371927 1473997 1650289 1723827 1929999 2333051 2365251 2564907 3201163 3608259 4421991 4503331 4843133 4950867 5984783 6999153 8419271 9603489 11552023 13509993 14529399 17954349 19664287 25257813 27663319 33901931 34656069 37956647 58992861 70962427 82989957 101705793 113869941 137650009 193643233 212887281 265696529 412950027 496736989 580929699 797089587 1490210967 1632135821 4896407463 11424950747 34274852241