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34328069405 = 574192892
BaseRepresentation
bin11111111110000111…
…001100010100011101
310021121101022121102222
4133332013030110131
51030300441210110
623434201355125
72323452530000
oct377607142435
9107541277388
1034328069405
11136163336a3
1267a0498aa5
133310c61906
14193919b537
15d5daa4c55
hex7fe1cc51d

34328069405 has 90 divisors (see below), whose sum is σ = 51295121946. Its totient is φ = 22049774208.

The previous prime is 34328069371. The next prime is 34328069407. The reversal of 34328069405 is 50496082343.

It can be written as a sum of positive squares in 3 ways, for example, as 3467044 + 34324602361 = 1862^2 + 185269^2 .

It is not a de Polignac number, because 34328069405 - 210 = 34328068381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34328069407) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 385708601 + ... + 385708689.

Almost surely, 234328069405 is an apocalyptic number.

34328069405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34328069405 is a deficient number, since it is larger than the sum of its proper divisors (16967052541).

34328069405 is an frugal number, since it uses more digits than its factorization.

34328069405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 34328069405 in words is "thirty-four billion, three hundred twenty-eight million, sixty-nine thousand, four hundred five".

Divisors: 1 5 7 19 35 49 89 95 133 245 343 361 445 623 665 931 1691 1715 1805 2401 2527 3115 4361 4655 6517 7921 8455 11837 12005 12635 17689 21805 30527 32129 32585 39605 45619 55447 59185 82859 88445 123823 150499 152635 160645 213689 224903 228095 277235 388129 414295 580013 619115 752495 866761 1053493 1068445 1124515 1574321 1940645 2716903 2859481 2900065 4060091 4333805 5267465 7374451 7871605 11020247 13584515 14297405 19018321 20016367 20300455 36872255 51621157 55101235 77141729 95091605 100081835 140114569 258105785 361348099 385708645 700572845 980801983 1806740495 4904009915 6865613881 34328069405