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34328352 = 253357587
BaseRepresentation
bin1000001011110…
…0111100100000
32101121001122110
42002330330200
532242001402
63223435320
7564533442
oct202747440
971531573
1034328352
1118417443
12b5b5b40
13715c146
1447b8492
15303156c
hex20bcf20

34328352 has 24 divisors (see below), whose sum is σ = 90112176. Its totient is φ = 11442752.

The previous prime is 34328317. The next prime is 34328369. The reversal of 34328352 is 25382343.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178698 + ... + 178889.

It is an arithmetic number, because the mean of its divisors is an integer number (3754674).

Almost surely, 234328352 is an apocalyptic number.

34328352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34328352 is an abundant number, since it is smaller than the sum of its proper divisors (55783824).

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

34328352 is a wasteful number, since it uses less digits than its factorization.

34328352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357600 (or 357592 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 34328352 is about 5859.0401944346. The cubic root of 34328352 is about 325.0007163692. Note that the first 3 decimals are identical.

The spelling of 34328352 in words is "thirty-four million, three hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 357587 715174 1072761 1430348 2145522 2860696 4291044 5721392 8582088 11442784 17164176 34328352