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134000412 = 223713277443
BaseRepresentation
bin1111111110010…
…10111100011100
3100100010221000020
413333022330130
5233301003122
621144032140
73214661520
oct777127434
9310127006
10134000412
1169704547
1238a62650
13219b95b0
1413b21d80
15bb6dc5c
hex7fcaf1c

134000412 has 96 divisors (see below), whose sum is σ = 387082752. Its totient is φ = 35133696.

The previous prime is 134000411. The next prime is 134000413. The reversal of 134000412 is 214000431.

It is an interprime number because it is at equal distance from previous prime (134000411) and next prime (134000413).

It is a super-2 number, since 2×1340004122 = 35912220832339488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134000391 and 134000400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134000411) 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, 302263 + ... + 302705.

It is an arithmetic number, because the mean of its divisors is an integer number (4032112).

Almost surely, 2134000412 is an apocalyptic number.

134000412 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 134000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193541376).

134000412 is an abundant number, since it is smaller than the sum of its proper divisors (253082340).

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

134000412 is a wasteful number, since it uses less digits than its factorization.

134000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134000412 is about 11575.8546984661. The cubic root of 134000412 is about 511.7235191431.

Adding to 134000412 its reverse (214000431), we get a palindrome (348000843).

The spelling of 134000412 in words is "one hundred thirty-four million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 277 364 443 546 554 831 886 1092 1108 1329 1662 1772 1939 2658 3101 3324 3601 3878 5316 5759 5817 6202 7202 7756 9303 10803 11518 11634 12404 14404 17277 18606 21606 23036 23268 25207 34554 37212 40313 43212 50414 69108 75621 80626 100828 120939 122711 151242 161252 241878 245422 302484 368133 483756 490844 736266 858977 1472532 1595243 1717954 2576931 3190486 3435908 4785729 5153862 6380972 9571458 10307724 11166701 19142916 22333402 33500103 44666804 67000206 134000412