Search a number
-
+
34742448 = 24321367277
BaseRepresentation
bin1000010010001…
…0000010110000
32102101002200100
42010202002300
532343224243
63240352400
7601206636
oct204420260
972332610
1034742448
111867a574
12b775700
137275780
144885356
1530b40d3
hex21220b0

34742448 has 120 divisors (see below), whose sum is σ = 106656368. Its totient is φ = 10492416.

The previous prime is 34742437. The next prime is 34742453. The reversal of 34742448 is 84424743.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 125286 + ... + 125562.

Almost surely, 234742448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34742448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53328184).

34742448 is an abundant number, since it is smaller than the sum of its proper divisors (71913920).

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

34742448 is a wasteful number, since it uses less digits than its factorization.

34742448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 34742448 is about 5894.2724741905. The cubic root of 34742448 is about 326.3023027962.

The spelling of 34742448 in words is "thirty-four million, seven hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 201 208 234 268 277 312 402 468 536 554 603 624 804 831 871 936 1072 1108 1206 1608 1662 1742 1872 2216 2412 2493 2613 3216 3324 3484 3601 4432 4824 4986 5226 6648 6968 7202 7839 9648 9972 10452 10803 13296 13936 14404 15678 18559 19944 20904 21606 28808 31356 32409 37118 39888 41808 43212 55677 57616 62712 64818 74236 86424 111354 125424 129636 148472 167031 172848 222708 241267 259272 296944 334062 445416 482534 518544 668124 723801 890832 965068 1336248 1447602 1930136 2171403 2672496 2895204 3860272 4342806 5790408 8685612 11580816 17371224 34742448