Search a number
-
+
34032880 = 245760773
BaseRepresentation
bin1000000111010…
…0110011110000
32101001001100001
42001310303300
532203023010
63213235344
7562163140
oct201646360
971031301
1034032880
1118235452
12b492b54
1370877cb
14473c920
152ec3c3a
hex2074cf0

34032880 has 40 divisors (see below), whose sum is σ = 90431712. Its totient is φ = 11668224.

The previous prime is 34032821. The next prime is 34032881. The reversal of 34032880 is 8823043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34032881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29827 + ... + 30946.

Almost surely, 234032880 is an apocalyptic number.

It is an amenable number.

34032880 is an abundant number, since it is smaller than the sum of its proper divisors (56398832).

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

34032880 is a wasteful number, since it uses less digits than its factorization.

34032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60793 (or 60787 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 34032880 is about 5833.7706502741. The cubic root of 34032880 is about 324.0655763218.

The spelling of 34032880 in words is "thirty-four million, thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 60773 121546 243092 303865 425411 486184 607730 850822 972368 1215460 1701644 2127055 2430920 3403288 4254110 4861840 6806576 8508220 17016440 34032880