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34378368 = 27389527
BaseRepresentation
bin1000001100100…
…1001010000000
32101200121020220
42003021022000
532300101433
63224503040
7565132323
oct203111200
971617226
1034378368
1118450a82
12b61aa80
137178b3b
1447cc7ba
1530412b3
hex20c9280

34378368 has 32 divisors (see below), whose sum is σ = 91318560. Its totient is φ = 11459328.

The previous prime is 34378367. The next prime is 34378373. The reversal of 34378368 is 86387343.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34378361) 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, 44380 + ... + 45147.

It is an arithmetic number, because the mean of its divisors is an integer number (2853705).

Almost surely, 234378368 is an apocalyptic number.

It is an amenable number.

34378368 is an abundant number, since it is smaller than the sum of its proper divisors (56940192).

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

34378368 is an equidigital number, since it uses as much as digits as its factorization.

34378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89544 (or 89532 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 34378368 is about 5863.3069167493. The cubic root of 34378368 is about 325.1584804982.

The spelling of 34378368 in words is "thirty-four million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 89527 179054 268581 358108 537162 716216 1074324 1432432 2148648 2864864 4297296 5729728 8594592 11459456 17189184 34378368