Search a number
-
+
34067552 = 25532379
BaseRepresentation
bin1000000111110…
…1010001100000
32101002210220012
42001331101200
532210130202
63214104052
7562366211
oct201752140
971083805
1034067552
1118259502
12b4ab028
13709a51c
14474b408
152ece152
hex207d460

34067552 has 36 divisors (see below), whose sum is σ = 68540220. Its totient is φ = 16668288.

The previous prime is 34067549. The next prime is 34067569. The reversal of 34067552 is 25576043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89699 + ... + 90077.

It is an arithmetic number, because the mean of its divisors is an integer number (1903895).

Almost surely, 234067552 is an apocalyptic number.

34067552 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 34067552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34270110).

34067552 is an abundant number, since it is smaller than the sum of its proper divisors (34472668).

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

34067552 is an equidigital number, since it uses as much as digits as its factorization.

34067552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 34067552 is about 5836.7415567250. The cubic root of 34067552 is about 324.1755894243.

The spelling of 34067552 in words is "thirty-four million, sixty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 106 212 379 424 758 848 1516 1696 2809 3032 5618 6064 11236 12128 20087 22472 40174 44944 80348 89888 160696 321392 642784 1064611 2129222 4258444 8516888 17033776 34067552