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134434080 = 25345112341
BaseRepresentation
bin10000000001101…
…00110100100000
3100100221221220000
420000310310200
5233403342310
621201220000
73221446044
oct1000646440
9310857800
10134434080
1169980350
1239031600
1321b0bac1
1413bd6024
15bc074c0
hex8034d20

134434080 has 480 divisors, whose sum is σ = 553246848. Its totient is φ = 30412800.

The previous prime is 134434043. The next prime is 134434081. The reversal of 134434080 is 80434431.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134434081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3278860 + ... + 3278900.

Almost surely, 2134434080 is an apocalyptic number.

134434080 is a gapful number since it is divisible by the number (10) 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 134434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276623424).

134434080 is an abundant number, since it is smaller than the sum of its proper divisors (418812768).

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

134434080 is a wasteful number, since it uses less digits than its factorization.

134434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134434080 is about 11594.5711434274. The cubic root of 134434080 is about 512.2749581078.

The spelling of 134434080 in words is "one hundred thirty-four million, four hundred thirty-four thousand, eighty".