Search a number
-
+
33141232 = 2431109613
BaseRepresentation
bin111111001101…
…1000111110000
32022100202020001
41332123013300
531441004412
63142155344
7551460445
oct176330760
968322201
1033141232
1117786553
12b122b54
136b349c7
1445899cc
152d99957
hex1f9b1f0

33141232 has 40 divisors (see below), whose sum is σ = 66999680. Its totient is φ = 15863040.

The previous prime is 33141223. The next prime is 33141247. The reversal of 33141232 is 23214133.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53758 + ... + 54370.

It is an arithmetic number, because the mean of its divisors is an integer number (1674992).

Almost surely, 233141232 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 33141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33499840).

33141232 is an abundant number, since it is smaller than the sum of its proper divisors (33858448).

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

33141232 is a wasteful number, since it uses less digits than its factorization.

33141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 33141232 is about 5756.8421899510. The cubic root of 33141232 is about 321.2103640784.

Adding to 33141232 its reverse (23214133), we get a palindrome (56355365).

The spelling of 33141232 in words is "thirty-three million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 109 124 218 248 436 496 613 872 1226 1744 2452 3379 4904 6758 9808 13516 19003 27032 38006 54064 66817 76012 133634 152024 267268 304048 534536 1069072 2071327 4142654 8285308 16570616 33141232