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134429256 = 233213197559
BaseRepresentation
bin10000000001100…
…11101001001000
3100100221201021100
420000303221020
5233403214011
621201141400
73221426013
oct1000635110
9310851240
10134429256
1169977765
123902a860
1321b09850
1413bd437a
15bc05d56
hex8033a48

134429256 has 96 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 39180672.

The previous prime is 134429203. The next prime is 134429257. The reversal of 134429256 is 652924431.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134429256.

It is not an unprimeable number, because it can be changed into a prime (134429257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14005 + ... + 21563.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2134429256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134429256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

134429256 is an abundant number, since it is smaller than the sum of its proper divisors (278346744).

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

134429256 is a wasteful number, since it uses less digits than its factorization.

134429256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7596 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 134429256 is about 11594.3631131684. The cubic root of 134429256 is about 512.2688305842.

The spelling of 134429256 in words is "one hundred thirty-four million, four hundred twenty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 7559 8892 15118 17784 22677 30236 45354 60472 68031 90708 98267 136062 143621 181416 196534 272124 287242 294801 393068 430863 544248 574484 589602 786136 861726 884403 1148968 1179204 1292589 1723452 1768806 1867073 2358408 2585178 3446904 3537612 3734146 5170356 5601219 7075224 7468292 10340712 11202438 14936584 16803657 22404876 33607314 44809752 67214628 134429256