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134093232 = 2435713379
BaseRepresentation
bin1111111111000…
…01100110110000
3100100022122100000
413333201212300
5233311440412
621150030000
73215526240
oct777414660
9310278300
10134093232
1169768259
1238aa8300
1321a1c910
1413b47b20
15bb8b4dc
hex7fe19b0

134093232 has 240 divisors, whose sum is σ = 480247040. Its totient is φ = 35271936.

The previous prime is 134093191. The next prime is 134093249. The reversal of 134093232 is 232390431.

It is a happy number.

134093232 is a `hidden beast` number, since 1 + 340 + 93 + 232 = 666.

It is a super-3 number, since 3×1340932323 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 134093196 and 134093205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353619 + ... + 353997.

Almost surely, 2134093232 is an apocalyptic number.

134093232 is a gapful number since it is divisible by the number (12) 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 134093232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240123520).

134093232 is an abundant number, since it is smaller than the sum of its proper divisors (346153808).

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

134093232 is a wasteful number, since it uses less digits than its factorization.

134093232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 134093232 is about 11579.8632116273. The cubic root of 134093232 is about 511.8416461784.

It can be divided in two parts, 1340932 and 32, that added together give a square (1340964 = 11582).

The spelling of 134093232 in words is "one hundred thirty-four million, ninety-three thousand, two hundred thirty-two".