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34048672 = 257152003
BaseRepresentation
bin1000000111100…
…0101010100000
32101001211222221
42001320222200
532204024142
63213440424
7562260160
oct201705240
971054887
1034048672
11182462a9
12b4a0114
137091a58
1447445a0
152ec8767
hex2078aa0

34048672 has 24 divisors (see below), whose sum is σ = 76610016. Its totient is φ = 14592192.

The previous prime is 34048669. The next prime is 34048673. The reversal of 34048672 is 27684043.

It is not an unprimeable number, because it can be changed into a prime (34048673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75778 + ... + 76225.

It is an arithmetic number, because the mean of its divisors is an integer number (3192084).

Almost surely, 234048672 is an apocalyptic number.

34048672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34048672 is an abundant number, since it is smaller than the sum of its proper divisors (42561344).

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

34048672 is a wasteful number, since it uses less digits than its factorization.

34048672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152020 (or 152012 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 34048672 is about 5835.1239918274. The cubic root of 34048672 is about 324.1156930738.

The spelling of 34048672 in words is "thirty-four million, forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 152003 304006 608012 1064021 1216024 2128042 2432048 4256084 4864096 8512168 17024336 34048672