Search a number
-
+
34143780 = 22351124703
BaseRepresentation
bin1000001000111…
…1111000100100
32101020200110110
42002033320210
532220100110
63215453020
7563134356
oct202177044
971220413
1034143780
1118300800
12b527170
1370c6128
14476b0d6
152ee6a20
hex208fe24

34143780 has 72 divisors (see below), whose sum is σ = 105106176. Its totient is φ = 8275520.

The previous prime is 34143743. The next prime is 34143827. The reversal of 34143780 is 8734143.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4909 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (1459808).

Almost surely, 234143780 is an apocalyptic number.

34143780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34143780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52553088).

34143780 is an abundant number, since it is smaller than the sum of its proper divisors (70962396).

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

34143780 is a wasteful number, since it uses less digits than its factorization.

34143780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 34143780 is about 5843.2679212920. The cubic root of 34143780 is about 324.4171961472.

The spelling of 34143780 in words is "thirty-four million, one hundred forty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 4703 7260 9406 14109 18812 23515 28218 47030 51733 56436 70545 94060 103466 141090 155199 206932 258665 282180 310398 517330 569063 620796 775995 1034660 1138126 1551990 1707189 2276252 2845315 3103980 3414378 5690630 6828756 8535945 11381260 17071890 34143780