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34214895 = 32511132409
BaseRepresentation
bin1000001010000…
…1001111101111
32101101022000100
42002201033233
532224334040
63221202143
7563551611
oct202411757
971338010
1034214895
111834a180
12b560353
13711c600
144788db1
15300cb30
hex20a13ef

34214895 has 72 divisors (see below), whose sum is σ = 70228080. Its totient is φ = 15275520.

The previous prime is 34214879. The next prime is 34214909. The reversal of 34214895 is 59841243.

34214895 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34214895 - 24 = 34214879 is a prime.

It is a super-2 number, since 2×342148952 = 2341318079722050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 83451 + ... + 83859.

It is an arithmetic number, because the mean of its divisors is an integer number (975390).

Almost surely, 234214895 is an apocalyptic number.

34214895 is an abundant number, since it is smaller than the sum of its proper divisors (36013185).

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

34214895 is a wasteful number, since it uses less digits than its factorization.

34214895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 34214895 is about 5849.3499638849. The cubic root of 34214895 is about 324.6422730617.

It can be divided in two parts, 342148 and 95, that added together give a palindrome (342243).

The spelling of 34214895 in words is "thirty-four million, two hundred fourteen thousand, eight hundred ninety-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 169 195 409 429 495 507 585 715 845 1227 1287 1521 1859 2045 2145 2535 3681 4499 5317 5577 6135 6435 7605 9295 13497 15951 16731 18405 22495 26585 27885 40491 47853 58487 67485 69121 79755 83655 175461 202455 207363 239265 292435 345605 526383 622089 760331 877305 1036815 2280993 2631915 3110445 3801655 6842979 11404965 34214895