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32134144 = 21074483
BaseRepresentation
bin111101010010…
…1010000000000
32020110120202111
41322211100000
531211243034
63104425104
7540064360
oct172452000
966416674
1032134144
1117158949
12a918194
1368714b3
1443a69a0
152c4b364
hex1ea5400

32134144 has 44 divisors (see below), whose sum is σ = 73429984. Its totient is φ = 13768704.

The previous prime is 32134139. The next prime is 32134171. The reversal of 32134144 is 44143123.

It is a super-2 number, since 2×321341442 = 2065206421225472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4927 + ... + 9409.

Almost surely, 232134144 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 32134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36714992).

32134144 is an abundant number, since it is smaller than the sum of its proper divisors (41295840).

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

32134144 is an equidigital number, since it uses as much as digits as its factorization.

32134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4492 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 32134144 is about 5668.6986160846. The cubic root of 32134144 is about 317.9232176210.

Adding to 32134144 its reverse (44143123), we get a palindrome (76277267).

The spelling of 32134144 in words is "thirty-two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 4483 7168 8966 17932 31381 35864 62762 71728 125524 143456 251048 286912 502096 573824 1004192 1147648 2008384 2295296 4016768 4590592 8033536 16067072 32134144