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34119954 = 2341141467
BaseRepresentation
bin1000001000101…
…0000100010010
32101012110210000
42002022010102
532213314304
63215150430
7563005041
oct202120422
971173700
1034119954
1118294910
12b515416
1370b832b
144762558
152ede939
hex208a112

34119954 has 80 divisors (see below), whose sum is σ = 85621536. Its totient is φ = 10065600.

The previous prime is 34119949. The next prime is 34119961. The reversal of 34119954 is 45991143.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72829 + ... + 73295.

Almost surely, 234119954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34119954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810768).

34119954 is an abundant number, since it is smaller than the sum of its proper divisors (51501582).

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

34119954 is a wasteful number, since it uses less digits than its factorization.

34119954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 34119954 is about 5841.2288090778. The cubic root of 34119954 is about 324.3417176584.

The spelling of 34119954 in words is "thirty-four million, one hundred nineteen thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 246 297 369 451 467 594 738 891 902 934 1107 1353 1401 1782 2214 2706 2802 3321 4059 4203 5137 6642 8118 8406 10274 12177 12609 15411 19147 24354 25218 30822 36531 37827 38294 46233 57441 73062 75654 92466 114882 138699 172323 210617 277398 344646 416097 421234 516969 631851 832194 1033938 1263702 1550907 1895553 3101814 3791106 5686659 11373318 17059977 34119954