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134023424 = 28411132
BaseRepresentation
bin1111111110100…
…00100100000000
3100100012002120112
413333100210000
5233302222144
621144330452
73215115563
oct777204400
9310162515
10134023424
116971a867
1238a73a28
13219c6c02
1413b2a4da
15bb7599e
hex7fd0900

134023424 has 54 divisors (see below), whose sum is σ = 276494946. Its totient is φ = 64798720.

The previous prime is 134023411. The next prime is 134023429. The reversal of 134023424 is 424320431.

It can be written as a sum of positive squares in 3 ways, for example, as 35617024 + 98406400 = 5968^2 + 9920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134023424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134023429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1185992 + ... + 1186104.

Almost surely, 2134023424 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 134023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138247473).

134023424 is an abundant number, since it is smaller than the sum of its proper divisors (142471522).

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

134023424 is an frugal number, since it uses more digits than its factorization.

134023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 134023424 is about 11576.8486212786. The cubic root of 134023424 is about 511.7528103655.

Adding to 134023424 its reverse (424320431), we get a palindrome (558343855).

The spelling of 134023424 in words is "one hundred thirty-four million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 113 128 164 226 256 328 452 656 904 1312 1808 2624 3616 4633 5248 7232 9266 10496 12769 14464 18532 25538 28928 37064 51076 74128 102152 148256 204304 296512 408608 523529 593024 817216 1047058 1186048 1634432 2094116 3268864 4188232 8376464 16752928 33505856 67011712 134023424