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134117424 = 2433744351
BaseRepresentation
bin1111111111001…
…11100000110000
3100100100212112000
413333213200300
5233313224144
621150334000
73215656620
oct777474060
9310325460
10134117424
1169784451
1238aba300
1321a2a92c
1413b52880
15bb93769
hex7fe7830

134117424 has 80 divisors (see below), whose sum is σ = 439971840. Its totient is φ = 38318400.

The previous prime is 134117413. The next prime is 134117429. The reversal of 134117424 is 424711431.

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

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (134117429) 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, 19152 + ... + 25199.

It is an arithmetic number, because the mean of its divisors is an integer number (5499648).

Almost surely, 2134117424 is an apocalyptic number.

134117424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134117424 is an abundant number, since it is smaller than the sum of its proper divisors (305854416).

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

134117424 is a wasteful number, since it uses less digits than its factorization.

134117424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44375 (or 44363 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 134117424 is about 11580.9077364428. The cubic root of 134117424 is about 511.8724250833.

Adding to 134117424 its reverse (424711431), we get a palindrome (558828855).

The spelling of 134117424 in words is "one hundred thirty-four million, one hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 44351 88702 133053 177404 266106 310457 354808 399159 532212 620914 709616 798318 931371 1064424 1197477 1241828 1596636 1862742 2128848 2394954 2483656 2794113 3193272 3725484 4789908 4967312 5588226 6386544 7450968 8382339 9579816 11176452 14901936 16764678 19159632 22352904 33529356 44705808 67058712 134117424