Search a number
-
+
34131195 = 3257223673
BaseRepresentation
bin1000001000110…
…0110011111011
32101020001012100
42002030303323
532214144240
63215314443
7563052600
oct202146373
971201170
1034131195
11182a22aa
12b51ba23
1370c0497
1447666a7
152ee2e30
hex208ccfb

34131195 has 72 divisors (see below), whose sum is σ = 71918496. Its totient is φ = 14902272.

The previous prime is 34131193. The next prime is 34131197. The reversal of 34131195 is 59113143.

34131195 is a `hidden beast` number, since 341 + 311 + 9 + 5 = 666.

34131195 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34131193) and next prime (34131197).

It is not a de Polignac number, because 34131195 - 21 = 34131193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34131193) 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 71 ways as a sum of consecutive naturals, for example, 50379 + ... + 51051.

It is an arithmetic number, because the mean of its divisors is an integer number (998868).

Almost surely, 234131195 is an apocalyptic number.

34131195 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34131195 is an abundant number, since it is smaller than the sum of its proper divisors (37787301).

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

34131195 is a wasteful number, since it uses less digits than its factorization.

34131195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 34131195 is about 5842.1909417615. The cubic root of 34131195 is about 324.3773324478.

The spelling of 34131195 in words is "thirty-four million, one hundred thirty-one thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 673 735 805 1035 1127 1449 2019 2205 2415 3365 3381 4711 5635 6057 7245 10095 10143 14133 15479 16905 23555 30285 32977 42399 46437 50715 70665 77395 98931 108353 139311 164885 211995 232185 296793 325059 494655 541765 696555 758471 975177 1483965 1625295 2275413 3792355 4875885 6826239 11377065 34131195