Search a number
-
+
34151355 = 335771509
BaseRepresentation
bin1000001001000…
…1101110111011
32101021001212000
42002101232323
532220320410
63215552043
7563165430
oct202215673
971231760
1034151355
1118306467
12b52b623
1370c9704
14476db87
152ee8dc0
hex2091bbb

34151355 has 64 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 15361920.

The previous prime is 34151353. The next prime is 34151413. The reversal of 34151355 is 55315143.

34151355 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 34151355 - 21 = 34151353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34151353) 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 63 ways as a sum of consecutive naturals, for example, 66841 + ... + 67349.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 234151355 is an apocalyptic number.

34151355 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34151355 is an abundant number, since it is smaller than the sum of its proper divisors (36351045).

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

34151355 is a wasteful number, since it uses less digits than its factorization.

34151355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 34151355 is about 5843.9160671591. The cubic root of 34151355 is about 324.4411856659.

Adding to 34151355 its reverse (55315143), we get a palindrome (89466498).

The spelling of 34151355 in words is "thirty-four million, one hundred fifty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 105 135 189 213 315 355 497 509 639 945 1065 1491 1527 1917 2485 2545 3195 3563 4473 4581 7455 7635 9585 10689 13419 13743 17815 22365 22905 32067 36139 53445 67095 68715 96201 108417 160335 180695 252973 325251 481005 542085 758919 975753 1264865 1626255 2276757 3794595 4878765 6830271 11383785 34151355