Search a number
-
+
34178130 = 2325754251
BaseRepresentation
bin1000001001100…
…0010001010010
32101022102120200
42002120101102
532222200010
63220320030
7563336460
oct202302122
971272520
1034178130
1118324598
12b543016
13710895c
144779830
153001cc0
hex2098452

34178130 has 48 divisors (see below), whose sum is σ = 101559744. Its totient is φ = 7812000.

The previous prime is 34178101. The next prime is 34178141. The reversal of 34178130 is 3187143.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34178094 and 34178103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26496 + ... + 27755.

It is an arithmetic number, because the mean of its divisors is an integer number (2115828).

Almost surely, 234178130 is an apocalyptic number.

34178130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34178130 is an abundant number, since it is smaller than the sum of its proper divisors (67381614).

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

34178130 is a wasteful number, since it uses less digits than its factorization.

34178130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54271 (or 54268 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 34178130 is about 5846.2064623138. The cubic root of 34178130 is about 324.5259518831.

The spelling of 34178130 in words is "thirty-four million, one hundred seventy-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 54251 108502 162753 271255 325506 379757 488259 542510 759514 813765 976518 1139271 1627530 1898785 2278542 2441295 3417813 3797570 4882590 5696355 6835626 11392710 17089065 34178130