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34284288 = 28344641
BaseRepresentation
bin1000001011001…
…0001100000000
32101111211012110
42002302030000
532234044123
63222455320
7564261123
oct202621400
971454173
1034284288
1118397325
12b594540
13714507c
1447a63ba
153023493
hex20b2300

34284288 has 36 divisors (see below), whose sum is σ = 91248248. Its totient is φ = 11427840.

The previous prime is 34284281. The next prime is 34284301. The reversal of 34284288 is 88248243.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34284281) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21553 + ... + 23088.

Almost surely, 234284288 is an apocalyptic number.

It is an amenable number.

34284288 is an abundant number, since it is smaller than the sum of its proper divisors (56963960).

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

34284288 is an equidigital number, since it uses as much as digits as its factorization.

34284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44660 (or 44646 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 34284288 is about 5855.2786440954. The cubic root of 34284288 is about 324.8615994534.

The spelling of 34284288 in words is "thirty-four million, two hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 44641 89282 133923 178564 267846 357128 535692 714256 1071384 1428512 2142768 2857024 4285536 5714048 8571072 11428096 17142144 34284288