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134304384 = 273367953
BaseRepresentation
bin10000000000101…
…01001010000000
3100100201100222110
420000111022000
5233340220014
621154335320
73220365654
oct1000251200
9310640873
10134304384
11698a1965
1238b8a540
1321a94a66
1413ba0a64
15bbcdd59
hex8015280

134304384 has 64 divisors (see below), whose sum is σ = 358093440. Its totient is φ = 44599296.

The previous prime is 134304349. The next prime is 134304389. The reversal of 134304384 is 483403431.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (134304389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140452 + ... + 141404.

It is an arithmetic number, because the mean of its divisors is an integer number (5595210).

Almost surely, 2134304384 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 134304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179046720).

134304384 is an abundant number, since it is smaller than the sum of its proper divisors (223789056).

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

134304384 is an equidigital number, since it uses as much as digits as its factorization.

134304384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 134304384 is about 11588.9768314550. The cubic root of 134304384 is about 512.1101650966.

The spelling of 134304384 in words is "one hundred thirty-four million, three hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 367 384 734 953 1101 1468 1906 2202 2859 2936 3812 4404 5718 5872 7624 8808 11436 11744 15248 17616 22872 23488 30496 35232 45744 46976 60992 70464 91488 121984 140928 182976 349751 365952 699502 1049253 1399004 2098506 2798008 4197012 5596016 8394024 11192032 16788048 22384064 33576096 44768128 67152192 134304384