Search a number
-
+
34209920 = 27553453
BaseRepresentation
bin1000001010000…
…0000010000000
32101101001012002
42002200002000
532224204140
63221123132
7563531243
oct202400200
971331162
1034209920
1118346468
12b5594a8
13711a274
14478725a
15300b415
hex20a0080

34209920 has 32 divisors (see below), whose sum is σ = 81784620. Its totient is φ = 13683712.

The previous prime is 34209919. The next prime is 34209971. The reversal of 34209920 is 2990243.

It can be written as a sum of positive squares in 2 ways, for example, as 34199104 + 10816 = 5848^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26087 + ... + 27366.

Almost surely, 234209920 is an apocalyptic number.

It is an amenable number.

34209920 is an abundant number, since it is smaller than the sum of its proper divisors (47574700).

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

34209920 is an equidigital number, since it uses as much as digits as its factorization.

34209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53472 (or 53460 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 34209920 is about 5848.9246874960. The cubic root of 34209920 is about 324.6265374823.

The spelling of 34209920 in words is "thirty-four million, two hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 53453 106906 213812 267265 427624 534530 855248 1069060 1710496 2138120 3420992 4276240 6841984 8552480 17104960 34209920