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134201328 = 24329229421
BaseRepresentation
bin1111111111110…
…11111111110000
3100100112010121120
413333323333300
5233323420303
621152222240
73216456342
oct777737760
9310463546
10134201328
1169831498
1238b3a980
1321a59b91
1413b75292
15bbad553
hex7ffbff0

134201328 has 80 divisors (see below), whose sum is σ = 361063200. Its totient is φ = 42900480.

The previous prime is 134201321. The next prime is 134201339. The reversal of 134201328 is 823102431.

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

It is a junction number, because it is equal to n+sod(n) for n = 134201298 and 134201307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134201321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318558 + ... + 318978.

It is an arithmetic number, because the mean of its divisors is an integer number (4513290).

Almost surely, 2134201328 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 134201328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180531600).

134201328 is an abundant number, since it is smaller than the sum of its proper divisors (226861872).

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

134201328 is a wasteful number, since it uses less digits than its factorization.

134201328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 134201328 is about 11584.5296840226. The cubic root of 134201328 is about 511.9791454722.

Adding to 134201328 its reverse (823102431), we get a palindrome (957303759).

The spelling of 134201328 in words is "one hundred thirty-four million, two hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 229 232 348 421 458 464 687 696 842 916 1263 1374 1392 1684 1832 2526 2748 3368 3664 5052 5496 6641 6736 10104 10992 12209 13282 19923 20208 24418 26564 36627 39846 48836 53128 73254 79692 96409 97672 106256 146508 159384 192818 195344 289227 293016 318768 385636 578454 586032 771272 1156908 1542544 2313816 2795861 4627632 5591722 8387583 11183444 16775166 22366888 33550332 44733776 67100664 134201328