Search a number
-
+
134074368 = 212323637
BaseRepresentation
bin1111111110111…
…01000000000000
3100100021200110100
413333131000000
5233310334433
621145402400
73215420241
oct777350000
9310250410
10134074368
116975506a
1238a99400
1321a1415c
1413b40cc8
15bb85b13
hex7fdd000

134074368 has 78 divisors (see below), whose sum is σ = 387385154. Its totient is φ = 44679168.

The previous prime is 134074357. The next prime is 134074403. The reversal of 134074368 is 863470431.

It can be written as a sum of positive squares in only one way, i.e., 78004224 + 56070144 = 8832^2 + 7488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35046 + ... + 38682.

Almost surely, 2134074368 is an apocalyptic number.

134074368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193692577).

134074368 is an abundant number, since it is smaller than the sum of its proper divisors (253310786).

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

134074368 is an equidigital number, since it uses as much as digits as its factorization.

134074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 134074368 is about 11579.0486655856. The cubic root of 134074368 is about 511.8176433920.

The spelling of 134074368 in words is "one hundred thirty-four million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3637 4096 4608 6144 7274 9216 10911 12288 14548 18432 21822 29096 32733 36864 43644 58192 65466 87288 116384 130932 174576 232768 261864 349152 465536 523728 698304 931072 1047456 1396608 1862144 2094912 2793216 3724288 4189824 5586432 7448576 8379648 11172864 14897152 16759296 22345728 33518592 44691456 67037184 134074368