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134066304 = 2732294013
BaseRepresentation
bin1111111110110…
…11000010000000
3100100021021101200
413333123002000
5233310110204
621145301200
73215354601
oct777330200
9310237350
10134066304
1169749aa9
1238a94800
1321a10598
1413b3bda8
15bb83539
hex7fdb080

134066304 has 96 divisors (see below), whose sum is σ = 399192300. Its totient is φ = 43137024.

The previous prime is 134066297. The next prime is 134066321. The reversal of 134066304 is 403660431.

It can be written as a sum of positive squares in 2 ways, for example, as 128867904 + 5198400 = 11352^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 31402 + ... + 35414.

Almost surely, 2134066304 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 134066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199596150).

134066304 is an abundant number, since it is smaller than the sum of its proper divisors (265125996).

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

134066304 is a wasteful number, since it uses less digits than its factorization.

134066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 134066304 is about 11578.7004452140. The cubic root of 134066304 is about 511.8073819719.

The spelling of 134066304 in words is "one hundred thirty-four million, sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4013 4176 5568 8026 8352 11136 12039 16052 16704 24078 32104 33408 36117 48156 64208 72234 96312 116377 128416 144468 192624 232754 256832 288936 349131 385248 465508 513664 577872 698262 770496 931016 1047393 1155744 1396524 1540992 1862032 2094786 2311488 2793048 3724064 4189572 4622976 5586096 7448128 8379144 11172192 14896256 16758288 22344384 33516576 44688768 67033152 134066304