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134434944 = 273375557
BaseRepresentation
bin10000000001101…
…01000010000000
3100100222000002000
420000311002000
5233403404234
621201224000
73221451420
oct1000650200
9310860060
10134434944
1169980a66
1239032000
1321b0c307
1413bd6480
15bc07899
hex8035080

134434944 has 128 divisors (see below), whose sum is σ = 453532800. Its totient is φ = 38403072.

The previous prime is 134434943. The next prime is 134434957. The reversal of 134434944 is 449434431.

134434944 is a `hidden beast` number, since 134 + 434 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134434899 and 134434908.

It is not an unprimeable number, because it can be changed into a prime (134434943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21414 + ... + 26970.

It is an arithmetic number, because the mean of its divisors is an integer number (3543225).

Almost surely, 2134434944 is an apocalyptic number.

134434944 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 134434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226766400).

134434944 is an abundant number, since it is smaller than the sum of its proper divisors (319097856).

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

134434944 is an equidigital number, since it uses as much as digits as its factorization.

134434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5569 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 134434944 is about 11594.6084021842. The cubic root of 134434944 is about 512.2760555592.

The spelling of 134434944 in words is "one hundred thirty-four million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 5557 6048 8064 11114 12096 16671 22228 24192 33342 38899 44456 50013 66684 77798 88912 100026 116697 133368 150039 155596 177824 200052 233394 266736 300078 311192 350091 355648 400104 466788 533472 600156 622384 700182 711296 800208 933576 1050273 1066944 1200312 1244768 1400364 1600416 1867152 2100546 2133888 2400624 2489536 2800728 3200832 3734304 4201092 4801248 4979072 5601456 6401664 7468608 8402184 9602496 11202912 14937216 16804368 19204992 22405824 33608736 44811648 67217472 134434944