Search a number
-
+
34425820 = 225111312037
BaseRepresentation
bin1000001101010…
…0101111011100
32101210000100101
42003110233130
532303111240
63225510444
7565420552
oct203245734
971700311
1034425820
11184836a0
12b642424
137194610
144801bd2
15305039a
hex20d4bdc

34425820 has 48 divisors (see below), whose sum is σ = 84940128. Its totient is φ = 11554560.

The previous prime is 34425803. The next prime is 34425847. The reversal of 34425820 is 2852443.

34425820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3159 + ... + 8878.

It is an arithmetic number, because the mean of its divisors is an integer number (1769586).

Almost surely, 234425820 is an apocalyptic number.

It is an amenable number.

34425820 is an abundant number, since it is smaller than the sum of its proper divisors (50514308).

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

34425820 is a wasteful number, since it uses less digits than its factorization.

34425820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 34425820 is about 5867.3520432986. The cubic root of 34425820 is about 325.3080156811.

It can be divided in two parts, 34425 and 820, that added together give a triangular number (35245 = T265).

The spelling of 34425820 in words is "thirty-four million, four hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 12037 24074 48148 60185 120370 132407 156481 240740 264814 312962 529628 625924 662035 782405 1324070 1564810 1721291 2648140 3129620 3442582 6885164 8606455 17212910 34425820