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134354304 = 2732716661
BaseRepresentation
bin10000000001000…
…01010110000000
3100100210220110100
420000201112000
5233343314204
621155402400
73220664340
oct1000412600
9310726410
10134354304
1169926417
1238bb3400
1321ab16b6
1413bb4d20
15bbdda39
hex8021580

134354304 has 96 divisors (see below), whose sum is σ = 441876240. Its totient is φ = 38384640.

The previous prime is 134354257. The next prime is 134354323. The reversal of 134354304 is 403453431.

134354304 is a `hidden beast` number, since 1 + 3 + 4 + 354 + 304 = 666.

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

It is a congruent number.

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, 267 + ... + 16394.

Almost surely, 2134354304 is an apocalyptic number.

134354304 is a gapful number since it is divisible by the number (14) 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 134354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220938120).

134354304 is an abundant number, since it is smaller than the sum of its proper divisors (307521936).

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

134354304 is a wasteful number, since it uses less digits than its factorization.

134354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688 (or 16673 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 134354304 is about 11591.1304021653. The cubic root of 134354304 is about 512.1736064923.

The spelling of 134354304 in words is "one hundred thirty-four million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 16661 33322 49983 66644 99966 116627 133288 149949 199932 233254 266576 299898 349881 399864 466508 533152 599796 699762 799728 933016 1049643 1066304 1199592 1399524 1599456 1866032 2099286 2132608 2399184 2799048 3198912 3732064 4198572 4798368 5598096 6397824 7464128 8397144 9596736 11196192 14928256 16794288 19193472 22392384 33588576 44784768 67177152 134354304