Search a number
-
+
34505928 = 23324111689
BaseRepresentation
bin1000001110100…
…0010011001000
32101221002020100
42003220103020
532313142203
63231325400
7566203242
oct203502310
971832210
1034505928
11185288a6
12b680860
1371c1c12
144823092
153068ea3
hex20e84c8

34505928 has 48 divisors (see below), whose sum is σ = 95741100. Its totient is φ = 11220480.

The previous prime is 34505917. The next prime is 34505951. The reversal of 34505928 is 82950543.

It can be written as a sum of positive squares in 2 ways, for example, as 34363044 + 142884 = 5862^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34505892 and 34505901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2893 + ... + 8796.

Almost surely, 234505928 is an apocalyptic number.

It is an amenable number.

34505928 is an abundant number, since it is smaller than the sum of its proper divisors (61235172).

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

34505928 is a wasteful number, since it uses less digits than its factorization.

34505928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11742 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 34505928 is about 5874.1746654317. The cubic root of 34505928 is about 325.5601480161.

The spelling of 34505928 in words is "thirty-four million, five hundred five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 11689 23378 35067 46756 70134 93512 105201 140268 210402 280536 420804 479249 841608 958498 1437747 1916996 2875494 3833992 4313241 5750988 8626482 11501976 17252964 34505928