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34250752 = 21337113
BaseRepresentation
bin1000001010101…
…0000000000000
32101110010012101
42002222000000
532232011002
63222040144
7564061264
oct202520000
971403171
1034250752
1118374108
12b579054
137132a23
1447980a4
153018587
hex20aa000

34250752 has 56 divisors (see below), whose sum is σ = 70971156. Its totient is φ = 16515072.

The previous prime is 34250737. The next prime is 34250759. The reversal of 34250752 is 25705243.

It can be written as a sum of positive squares in 2 ways, for example, as 33918976 + 331776 = 5824^2 + 576^2 .

It is a super-2 number, since 2×342507522 = 2346228025131008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34250752.

It is not an unprimeable number, because it can be changed into a prime (34250759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303048 + ... + 303160.

Almost surely, 234250752 is an apocalyptic number.

34250752 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 34250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35485578).

34250752 is an abundant number, since it is smaller than the sum of its proper divisors (36720404).

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

34250752 is an equidigital number, since it uses as much as digits as its factorization.

34250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 34250752 is about 5852.4142027030. The cubic root of 34250752 is about 324.7556411712.

Adding to 34250752 its reverse (25705243), we get a palindrome (59955995).

The spelling of 34250752 in words is "thirty-four million, two hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 113 128 148 226 256 296 452 512 592 904 1024 1184 1808 2048 2368 3616 4096 4181 4736 7232 8192 8362 9472 14464 16724 18944 28928 33448 37888 57856 66896 75776 115712 133792 151552 231424 267584 303104 462848 535168 925696 1070336 2140672 4281344 8562688 17125376 34250752