Search a number
-
+
134073408 = 2637214251
BaseRepresentation
bin1111111110111…
…00110001000000
3100100021122010210
413333130301000
5233310322113
621145354120
73215414400
oct777346100
9310248123
10134073408
1169754377
1238a98940
1321a138a1
1413b40800
15bb856c3
hex7fdcc40

134073408 has 84 divisors (see below), whose sum is σ = 412680912. Its totient is φ = 38304000.

The previous prime is 134073389. The next prime is 134073413. The reversal of 134073408 is 804370431.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (4912868).

Almost surely, 2134073408 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 134073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206340456).

134073408 is an abundant number, since it is smaller than the sum of its proper divisors (278607504).

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

134073408 is a wasteful number, since it uses less digits than its factorization.

134073408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14263 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 134073408 is about 11579.0072113286. The cubic root of 134073408 is about 511.8164218159.

The spelling of 134073408 in words is "one hundred thirty-four million, seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 14251 28502 42753 57004 85506 99757 114008 171012 199514 228016 299271 342024 399028 456032 598542 684048 698299 798056 912064 1197084 1368096 1396598 1596112 2094897 2394168 2736192 2793196 3192224 4189794 4788336 5586392 6384448 8379588 9576672 11172784 16759176 19153344 22345568 33518352 44691136 67036704 134073408