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134046432 = 25321335803
BaseRepresentation
bin1111111110101…
…10001011100000
3100100020021010200
413333112023200
5233303441212
621145025200
73215242632
oct777261340
9310207120
10134046432
1169736083
1238a85200
1321a04520
1413b34a52
15bb7c6dc
hex7fd62e0

134046432 has 72 divisors (see below), whose sum is σ = 410528664. Its totient is φ = 41243904.

The previous prime is 134046421. The next prime is 134046467. The reversal of 134046432 is 234640431.

134046432 is a `hidden beast` number, since 13 + 4 + 0 + 4 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 134046396 and 134046405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14158 + ... + 21645.

It is an arithmetic number, because the mean of its divisors is an integer number (5701787).

Almost surely, 2134046432 is an apocalyptic number.

134046432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134046432 is an abundant number, since it is smaller than the sum of its proper divisors (276482232).

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

134046432 is a wasteful number, since it uses less digits than its factorization.

134046432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35832 (or 35821 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 134046432 is about 11577.8422860220. The cubic root of 134046432 is about 511.7820931445.

Adding to 134046432 its reverse (234640431), we get a palindrome (368686863).

The spelling of 134046432 in words is "one hundred thirty-four million, forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 35803 71606 107409 143212 214818 286424 322227 429636 465439 572848 644454 859272 930878 1145696 1288908 1396317 1718544 1861756 2577816 2792634 3437088 3723512 4188951 5155632 5585268 7447024 8377902 10311264 11170536 14894048 16755804 22341072 33511608 44682144 67023216 134046432