Search a number
-
+
34873540 = 22513134129
BaseRepresentation
bin1000010100001…
…0000011000100
32102121202111121
42011002003010
532411423130
63243243324
7602264062
oct205020304
972552447
1034873540
111875a009
12b819544
1372c0340
1448bb032
1530dcd7a
hex21420c4

34873540 has 24 divisors (see below), whose sum is σ = 78868440. Its totient is φ = 12876288.

The previous prime is 34873519. The next prime is 34873541. The reversal of 34873540 is 4537843.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 34503876 = 608^2 + 5874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34873496 and 34873505.

It is not an unprimeable number, because it can be changed into a prime (34873541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66805 + ... + 67324.

It is an arithmetic number, because the mean of its divisors is an integer number (3286185).

Almost surely, 234873540 is an apocalyptic number.

It is an amenable number.

34873540 is an abundant number, since it is smaller than the sum of its proper divisors (43994900).

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

34873540 is a wasteful number, since it uses less digits than its factorization.

34873540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134151 (or 134149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 34873540 is about 5905.3822907582. The cubic root of 34873540 is about 326.7121945892.

The spelling of 34873540 in words is "thirty-four million, eight hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 134129 268258 536516 670645 1341290 1743677 2682580 3487354 6974708 8718385 17436770 34873540