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134213424 = 243892353
BaseRepresentation
bin1111111111111…
…10111100110000
3100100112202012120
413333332330300
5233324312144
621152354240
73216536532
oct777767460
9310482176
10134213424
116983a594
1238b45980
1321a62537
1413b79852
15bbb1e19
hex7ffef30

134213424 has 60 divisors (see below), whose sum is σ = 351650856. Its totient is φ = 44109824.

The previous prime is 134213423. The next prime is 134213447. The reversal of 134213424 is 424312431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134213394 and 134213403.

It is not an unprimeable number, because it can be changed into a prime (134213423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380032 + ... + 380384.

Almost surely, 2134213424 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 134213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175825428).

134213424 is an abundant number, since it is smaller than the sum of its proper divisors (217437432).

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

134213424 is an equidigital number, since it uses as much as digits as its factorization.

134213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 447 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 134213424 is about 11585.0517478344. The cubic root of 134213424 is about 511.9945271225.

Adding to 134213424 its reverse (424312431), we get a palindrome (558525855).

The spelling of 134213424 in words is "one hundred thirty-four million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 353 356 534 706 712 1059 1068 1412 1424 2118 2136 2824 4236 4272 5648 7921 8472 15842 16944 23763 31417 31684 47526 62834 63368 94251 95052 125668 126736 188502 190104 251336 377004 380208 502672 754008 1508016 2796113 5592226 8388339 11184452 16776678 22368904 33553356 44737808 67106712 134213424