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34233420066 = 23711091634523
BaseRepresentation
bin11111111000011110…
…001000100100100010
310021100210012220221220
4133320132020210202
51030102223420231
623420540555510
72321223161256
oct377036104442
9107323186856
1034233420066
11135779671aa
126774852b96
1332c74726a1
14192a7a0266
15d5560a896
hex7f8788922

34233420066 has 64 divisors (see below), whose sum is σ = 70513597440. Its totient is φ = 11076367680.

The previous prime is 34233420061. The next prime is 34233420073. The reversal of 34233420066 is 66002433243.

It is a happy number.

It is a super-2 number, since 2×342334200662 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34233420061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7566481 + ... + 7571003.

It is an arithmetic number, because the mean of its divisors is an integer number (1101774960).

Almost surely, 234233420066 is an apocalyptic number.

34233420066 is an abundant number, since it is smaller than the sum of its proper divisors (36280177374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34233420066 is a wasteful number, since it uses less digits than its factorization.

34233420066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871.

The product of its (nonzero) digits is 62208, while the sum is 33.

The spelling of 34233420066 in words is "thirty-four billion, two hundred thirty-three million, four hundred twenty thousand, sixty-six".

Divisors: 1 2 3 6 71 109 142 163 213 218 326 327 426 489 654 978 4523 7739 9046 11573 13569 15478 17767 23146 23217 27138 34719 35534 46434 53301 69438 106602 321133 493007 642266 737249 963399 986014 1261457 1474498 1479021 1926798 2211747 2522914 2958042 3784371 4423494 7568742 35003497 52344679 70006994 80360141 104689358 105010491 157034037 160720282 210020982 241080423 314068074 482160846 5705570011 11411140022 17116710033 34233420066