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34230333303243 = 32711202930238053
BaseRepresentation
bin1111100100001110111101…
…10110110110100111001011
311111012101110210010121101100
413302013132312312213023
513441312210311200433
6200445110435152443
710132026366231630
oct762073666664713
9144171423117340
1034230333303243
11a9a8003848580
123a0a099445723
131613ba29aa39c
14864a851b8187
153e562221db13
hex1f21dedb69cb

34230333303243 has 96 divisors (see below), whose sum is σ = 61702681098240. Its totient is φ = 17765141771520.

The previous prime is 34230333303211. The next prime is 34230333303307.

34230333303243 is a `hidden beast` number, since 3 + 4 + 2 + 303 + 3 + 3 + 303 + 2 + 43 = 666.

34230333303243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34230333303243 - 25 = 34230333303211 is a prime.

It is a super-2 number, since 2×342303333032432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34230333303198 and 34230333303207.

It is not an unprimeable number, because it can be changed into a prime (34230333303203) 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, 4250627205 + ... + 4250635257.

It is an arithmetic number, because the mean of its divisors is an integer number (642736261440).

Almost surely, 234230333303243 is an apocalyptic number.

34230333303243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34230333303243 is a deficient number, since it is larger than the sum of its proper divisors (27472347794997).

34230333303243 is a wasteful number, since it uses less digits than its factorization.

34230333303243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13129 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 36.

It can be divided in two parts, 3423033 and 3303243, that added together give a palindrome (6726276).

The spelling of 34230333303243 in words is "thirty-four trillion, two hundred thirty billion, three hundred thirty-three million, three hundred three thousand, two hundred forty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 2029 3023 6087 8053 9069 14203 18261 21161 22319 24159 27207 33253 42609 56371 63483 66957 72477 88583 99759 127827 156233 169113 190449 200871 232771 265749 299277 468699 507339 620081 698313 797247 1406097 1860243 2094939 5580729 6133667 16339537 18401001 24344219 42935669 49018611 55203003 67470337 73032657 114376759 128807007 147055833 170409533 179734907 202411011 219097971 267786409 343130277 386421021 472292359 511228599 539204721 607233033 803359227 1029390831 1258144349 1416877077 1533685797 1617614163 1874504863 2410077681 3774433047 4250631231 5623514589 11323299141 16870543767 49394420351 148183261053 345760942457 444549783159 543338623861 1037282827371 1630015871583 3111848482113 3803370367027 4890047614749 11410111101081 34230333303243