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32348428 = 22721511093
BaseRepresentation
bin111101101100…
…1100100001100
32020212110200221
41323121210030
531240122203
63113201124
7541646200
oct173314414
966773627
1032348428
1117294942
12aa001a4
136917ba8
144420b00
152c8eabd
hex1ed990c

32348428 has 36 divisors (see below), whose sum is σ = 66348912. Its totient is φ = 13759200.

The previous prime is 32348423. The next prime is 32348429. The reversal of 32348428 is 82484323.

It is a junction number, because it is equal to n+sod(n) for n = 32348393 and 32348402.

It is not an unprimeable number, because it can be changed into a prime (32348423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29050 + ... + 30142.

Almost surely, 232348428 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 32348428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33174456).

32348428 is an abundant number, since it is smaller than the sum of its proper divisors (34000484).

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

32348428 is a wasteful number, since it uses less digits than its factorization.

32348428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1253 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 32348428 is about 5687.5678457492. The cubic root of 32348428 is about 318.6283345484.

The spelling of 32348428 in words is "thirty-two million, three hundred forty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 151 196 302 604 1057 1093 2114 2186 4228 4372 7399 7651 14798 15302 29596 30604 53557 107114 165043 214228 330086 660172 1155301 2310602 4621204 8087107 16174214 32348428