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34322042034 = 234759512989
BaseRepresentation
bin11111111101110000…
…001100110010110010
310021120221222101110000
4133331300030302302
51030242420321114
623433424250430
72323350354330
oct377560146262
9107527871400
1034322042034
11136129971a5
12679a470a16
13330c931317
14193846cb50
15d5d2b3e09
hex7fdc0ccb2

34322042034 has 80 divisors (see below), whose sum is σ = 89383377600. Its totient is φ = 9640070496.

The previous prime is 34322042003. The next prime is 34322042059. The reversal of 34322042034 is 43024022343.

34322042034 is a `hidden beast` number, since 3 + 432 + 20 + 4 + 203 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34322041989 and 34322042007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 189589 + ... + 323400.

It is an arithmetic number, because the mean of its divisors is an integer number (1117292220).

Almost surely, 234322042034 is an apocalyptic number.

34322042034 is an abundant number, since it is smaller than the sum of its proper divisors (55061335566).

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

34322042034 is a wasteful number, since it uses less digits than its factorization.

34322042034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513069 (or 513060 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34322042034 its reverse (43024022343), we get a palindrome (77346064377).

The spelling of 34322042034 in words is "thirty-four billion, three hundred twenty-two million, forty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 81 118 126 162 177 189 354 378 413 531 567 826 1062 1134 1239 1593 2478 3186 3717 4779 7434 9558 11151 22302 33453 66906 512989 1025978 1538967 3077934 3590923 4616901 7181846 9233802 10772769 13850703 21545538 27701406 30266351 32318307 41552109 60532702 64636614 83104218 90799053 96954921 181598106 193909842 211864457 272397159 290864763 423728914 544794318 581729526 635593371 817191477 1271186742 1634382954 1906780113 2451574431 3813560226 4903148862 5720340339 11440680678 17161021017 34322042034