Search a number
-
+
34242544 = 247417457
BaseRepresentation
bin1000001010011…
…1111111110000
32101102200221101
42002213333300
532231230134
63221534144
7564025330
oct202477760
971380841
1034242544
1118368a26
12b574354
13712c07b
1447950c0
153015e14
hex20a7ff0

34242544 has 40 divisors (see below), whose sum is σ = 77682528. Its totient is φ = 14315520.

The previous prime is 34242529. The next prime is 34242547. The reversal of 34242544 is 44524243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864 + ... + 8320.

Almost surely, 234242544 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 34242544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38841264).

34242544 is an abundant number, since it is smaller than the sum of its proper divisors (43439984).

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

34242544 is a wasteful number, since it uses less digits than its factorization.

34242544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513 (or 7507 counting only the distinct ones).

The product of its digits is 15360, while the sum is 28.

The square root of 34242544 is about 5851.7129116183. The cubic root of 34242544 is about 324.7296971446.

Adding to 34242544 its reverse (44524243), we get a palindrome (78766787).

The spelling of 34242544 in words is "thirty-four million, two hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 7457 14914 29828 52199 59656 104398 119312 208796 305737 417592 611474 835184 1222948 2140159 2445896 4280318 4891792 8560636 17121272 34242544