Search a number
-
+
34240096 = 2511237239
BaseRepresentation
bin1000001010011…
…1011001100000
32101102120120201
42002213121200
532231140341
63221514544
7564015232
oct202473140
971376521
1034240096
1118367100
12b572a54
13712ac17
144794252
153015331
hex20a7660

34240096 has 72 divisors (see below), whose sum is σ = 76416480. Its totient is φ = 15079680.

The previous prime is 34240081. The next prime is 34240099. The reversal of 34240096 is 69004243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143145 + ... + 143383.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 234240096 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 34240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208240).

34240096 is an abundant number, since it is smaller than the sum of its proper divisors (42176384).

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

34240096 is a wasteful number, since it uses less digits than its factorization.

34240096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 34240096 is about 5851.5037383565. The cubic root of 34240096 is about 324.7219586499.

The spelling of 34240096 in words is "thirty-four million, two hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 121 148 176 239 242 296 352 407 478 484 592 814 956 968 1184 1628 1912 1936 2629 3256 3824 3872 4477 5258 6512 7648 8843 8954 10516 13024 17686 17908 21032 28919 35372 35816 42064 57838 70744 71632 84128 97273 115676 141488 143264 194546 231352 282976 389092 462704 778184 925408 1070003 1556368 2140006 3112736 4280012 8560024 17120048 34240096