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134104432 = 247111719337
BaseRepresentation
bin1111111111001…
…00010101110000
3100100100012200211
413333210111300
5233312320212
621150153504
73215604010
oct777442560
9310305624
10134104432
1169775710
1238ab2894
1321a24a47
1413b4bc40
15bb8e9a7
hex7fe4570

134104432 has 160 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 46448640.

The previous prime is 134104423. The next prime is 134104433. The reversal of 134104432 is 234401431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134104433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397768 + ... + 398104.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2134104432 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 134104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

134104432 is an abundant number, since it is smaller than the sum of its proper divisors (228015248).

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

134104432 is a wasteful number, since it uses less digits than its factorization.

134104432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 134104432 is about 11580.3467996429. The cubic root of 134104432 is about 511.8558961316.

Adding to 134104432 its reverse (234401431), we get a palindrome (368505863).

The spelling of 134104432 in words is "one hundred thirty-four million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 17 19 22 28 34 38 44 56 68 76 77 88 112 119 133 136 152 154 176 187 209 238 266 272 304 308 323 337 374 418 476 532 616 646 674 748 836 952 1064 1232 1292 1309 1348 1463 1496 1672 1904 2128 2261 2359 2584 2618 2696 2926 2992 3344 3553 3707 4522 4718 5168 5236 5392 5729 5852 6403 7106 7414 9044 9436 10472 11458 11704 12806 14212 14828 18088 18872 20944 22916 23408 24871 25612 25949 28424 29656 36176 37744 40103 44821 45832 49742 51224 51898 56848 59312 63019 70433 80206 89642 91664 99484 102448 103796 108851 126038 140866 160412 179284 198968 207592 217702 252076 281732 320824 358568 397936 415184 435404 441133 493031 504152 563464 641648 717136 761957 870808 882266 986062 1008304 1126928 1197361 1523914 1741616 1764532 1972124 2394722 3047828 3529064 3944248 4789444 6095656 7058128 7888496 8381527 9578888 12191312 16763054 19157776 33526108 67052216 134104432