Search a number
-
+
34334055 = 3257223677
BaseRepresentation
bin1000001011111…
…0010101100111
32101121100110200
42002332111213
532242142210
63223521543
7564556200
oct202762547
971540420
1034334055
1118420758
12b5b92b3
137161912
1447ba5a7
1530330c0
hex20be567

34334055 has 72 divisors (see below), whose sum is σ = 72345312. Its totient is φ = 14990976.

The previous prime is 34334051. The next prime is 34334063. The reversal of 34334055 is 55043343.

It is a happy number.

It is not a de Polignac number, because 34334055 - 22 = 34334051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34334051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50377 + ... + 51053.

It is an arithmetic number, because the mean of its divisors is an integer number (1004796).

Almost surely, 234334055 is an apocalyptic number.

34334055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34334055 is an abundant number, since it is smaller than the sum of its proper divisors (38011257).

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

34334055 is a wasteful number, since it uses less digits than its factorization.

34334055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 34334055 is about 5859.5268580321. The cubic root of 34334055 is about 325.0187129265.

Adding to 34334055 its reverse (55043343), we get a palindrome (89377398).

The spelling of 34334055 in words is "thirty-four million, three hundred thirty-four thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 677 735 805 1035 1127 1449 2031 2205 2415 3381 3385 4739 5635 6093 7245 10143 10155 14217 15571 16905 23695 30465 33173 42651 46713 50715 71085 77855 99519 108997 140139 165865 213255 233565 298557 326991 497595 544985 700695 762979 980973 1492785 1634955 2288937 3814895 4904865 6866811 11444685 34334055