Search a number
-
+
34533660 = 2235782223
BaseRepresentation
bin1000001110111…
…1000100011100
32101222111021110
42003233010130
532320034120
63232102020
7566350140
oct203570434
971874243
1034533660
1118547717
12b694910
137201725
14482d220
1530722e0
hex20ef11c

34533660 has 48 divisors (see below), whose sum is σ = 110509056. Its totient is φ = 7893312.

The previous prime is 34533643. The next prime is 34533661. The reversal of 34533660 is 6633543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34533661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40692 + ... + 41531.

It is an arithmetic number, because the mean of its divisors is an integer number (2302272).

Almost surely, 234533660 is an apocalyptic number.

34533660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34533660 is an abundant number, since it is smaller than the sum of its proper divisors (75975396).

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

34533660 is a wasteful number, since it uses less digits than its factorization.

34533660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82242 (or 82240 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 34533660 is about 5876.5346931674. The cubic root of 34533660 is about 325.6473409222.

The spelling of 34533660 in words is "thirty-four million, five hundred thirty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 82223 164446 246669 328892 411115 493338 575561 822230 986676 1151122 1233345 1644460 1726683 2302244 2466690 2877805 3453366 4933380 5755610 6906732 8633415 11511220 17266830 34533660