Search a number
-
+
34528340 = 22572113203
BaseRepresentation
bin1000001110110…
…1110001010100
32101222012222102
42003231301110
532314401330
63232021232
7566325500
oct203556124
971865872
1034528340
1118543720
12b691818
1371cc192
14482b300
153070945
hex20edc54

34528340 has 72 divisors (see below), whose sum is σ = 92044512. Its totient is φ = 10758720.

The previous prime is 34528337. The next prime is 34528349. The reversal of 34528340 is 4382543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34528349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9179 + ... + 12381.

It is an arithmetic number, because the mean of its divisors is an integer number (1278396).

Almost surely, 234528340 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 34528340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46022256).

34528340 is an abundant number, since it is smaller than the sum of its proper divisors (57516172).

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

34528340 is a wasteful number, since it uses less digits than its factorization.

34528340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 34528340 is about 5876.0820280183. The cubic root of 34528340 is about 325.6306177906.

The spelling of 34528340 in words is "thirty-four million, five hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 3203 5390 6406 10780 12812 16015 22421 32030 35233 44842 64060 70466 89684 112105 140932 156947 176165 224210 246631 313894 352330 448420 493262 627788 704660 784735 986524 1233155 1569470 1726417 2466310 3138940 3452834 4932620 6905668 8632085 17264170 34528340