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34143208 = 23111729787
BaseRepresentation
bin1000001000111…
…1101111101000
32101020122200021
42002033233220
532220040313
63215450224
7563132611
oct202175750
971218607
1034143208
1118300330
12b526974
1370c5aa8
14476ac08
152ee678d
hex208fbe8

34143208 has 64 divisors (see below), whose sum is σ = 76593600. Its totient is φ = 14085120.

The previous prime is 34143203. The next prime is 34143217. The reversal of 34143208 is 80234143.

34143208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42991 + ... + 43777.

It is an arithmetic number, because the mean of its divisors is an integer number (1196775).

Almost surely, 234143208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34143208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38296800).

34143208 is an abundant number, since it is smaller than the sum of its proper divisors (42450392).

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

34143208 is a wasteful number, since it uses less digits than its factorization.

34143208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 34143208 is about 5843.2189758728. The cubic root of 34143208 is about 324.4153845173.

The spelling of 34143208 in words is "thirty-four million, one hundred forty-three thousand, two hundred eight".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 493 638 748 787 986 1276 1496 1574 1972 2552 3148 3944 5423 6296 8657 10846 13379 17314 21692 22823 26758 34628 43384 45646 53516 69256 91292 107032 147169 182584 251053 294338 387991 502106 588676 775982 1004212 1177352 1551964 2008424 3103928 4267901 8535802 17071604 34143208