Search a number
-
+
34276128 = 25367732
BaseRepresentation
bin1000001011000…
…0001100100000
32101111102000020
42002300030200
532233314003
63222353440
7564225255
oct202601440
971442006
1034276128
1118391187
12b58b880
137141443
1447a342c
153020d53
hex20b0320

34276128 has 72 divisors (see below), whose sum is σ = 92585808. Its totient is φ = 11100672.

The previous prime is 34276087. The next prime is 34276139. The reversal of 34276128 is 82167243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469500 + ... + 469572.

It is an arithmetic number, because the mean of its divisors is an integer number (1285914).

Almost surely, 234276128 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 34276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46292904).

34276128 is an abundant number, since it is smaller than the sum of its proper divisors (58309680).

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

34276128 is an equidigital number, since it uses as much as digits as its factorization.

34276128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 145 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 34276128 is about 5854.5817954829. The cubic root of 34276128 is about 324.8358239827.

The spelling of 34276128 in words is "thirty-four million, two hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 73 96 134 146 201 219 268 292 402 438 536 584 804 876 1072 1168 1608 1752 2144 2336 3216 3504 4891 5329 6432 7008 9782 10658 14673 15987 19564 21316 29346 31974 39128 42632 58692 63948 78256 85264 117384 127896 156512 170528 234768 255792 357043 469536 511584 714086 1071129 1428172 2142258 2856344 4284516 5712688 8569032 11425376 17138064 34276128