Search a number
-
+
34505152 = 2611232131
BaseRepresentation
bin1000001110100…
…0000111000000
32101221001011121
42003220013000
532313131102
63231322024
7566201053
oct203500700
971831147
1034505152
1118528260
12b680314
1371c1766
144822a9a
153068b37
hex20e81c0

34505152 has 56 divisors (see below), whose sum is σ = 77980032. Its totient is φ = 14995200.

The previous prime is 34505143. The next prime is 34505153. The reversal of 34505152 is 25150543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34505153) 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, 15127 + ... + 17257.

Almost surely, 234505152 is an apocalyptic number.

34505152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38990016).

34505152 is an abundant number, since it is smaller than the sum of its proper divisors (43474880).

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

34505152 is a wasteful number, since it uses less digits than its factorization.

34505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 34505152 is about 5874.1086132281. The cubic root of 34505152 is about 325.5577075024.

Adding to 34505152 its reverse (25150543), we get a palindrome (59655695).

The spelling of 34505152 in words is "thirty-four million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 2131 4048 4262 8096 8524 16192 17048 23441 34096 46882 49013 68192 93764 98026 136384 187528 196052 375056 392104 539143 750112 784208 1078286 1500224 1568416 2156572 3136832 4313144 8626288 17252576 34505152