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134648064 = 283258441
BaseRepresentation
bin10000000011010…
…01000100000000
3100101100211102100
420001221010000
5233432214224
621205550400
73223326645
oct1001510400
9311324370
10134648064
116a0070a1
1239115400
1321b85315
1413c4ddcc
15bc4aac9
hex8069100

134648064 has 54 divisors (see below), whose sum is σ = 388230206. Its totient is φ = 44881920.

The previous prime is 134648029. The next prime is 134648083. The reversal of 134648064 is 460846431.

134648064 is a `hidden beast` number, since 1 + 3 + 4 + 648 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 1937664 = 11520^2 + 1392^2 .

It is a super-2 number, since 2×1346480642 = 36260202277896192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26917 + ... + 31524.

Almost surely, 2134648064 is an apocalyptic number.

It is an amenable number.

134648064 is an abundant number, since it is smaller than the sum of its proper divisors (253582142).

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

134648064 is an equidigital number, since it uses as much as digits as its factorization.

134648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58463 (or 58446 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 134648064 is about 11603.7952412131. The cubic root of 134648064 is about 512.5466167392.

It can be divided in two parts, 13464 and 8064, that added together give a triangular number (21528 = T207).

The spelling of 134648064 in words is "one hundred thirty-four million, six hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 58441 116882 175323 233764 350646 467528 525969 701292 935056 1051938 1402584 1870112 2103876 2805168 3740224 4207752 5610336 7480448 8415504 11220672 14960896 16831008 22441344 33662016 44882688 67324032 134648064