Search a number
-
+
34125180 = 22352332441
BaseRepresentation
bin1000001000101…
…1010101111100
32101012201221120
42002023111330
532214001210
63215230540
7563026215
oct202132574
971181846
1034125180
1118298831
12b518450
1370ba81b
14476440c
152ee1270
hex208b57c

34125180 has 48 divisors (see below), whose sum is σ = 95999904. Its totient is φ = 9057280.

The previous prime is 34125167. The next prime is 34125229. The reversal of 34125180 is 8152143.

It is a self number, because there is not a number n which added to its sum of digits gives 34125180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12760 + ... + 15200.

It is an arithmetic number, because the mean of its divisors is an integer number (1999998).

Almost surely, 234125180 is an apocalyptic number.

34125180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34125180 is an abundant number, since it is smaller than the sum of its proper divisors (61874724).

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

34125180 is a wasteful number, since it uses less digits than its factorization.

34125180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 34125180 is about 5841.6761293314. The cubic root of 34125180 is about 324.3582761341.

The spelling of 34125180 in words is "thirty-four million, one hundred twenty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 233 466 699 932 1165 1398 2330 2441 2796 3495 4660 4882 6990 7323 9764 12205 13980 14646 24410 29292 36615 48820 73230 146460 568753 1137506 1706259 2275012 2843765 3412518 5687530 6825036 8531295 11375060 17062590 34125180