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134401344 = 2637119091
BaseRepresentation
bin10000000001011…
…00110101000000
3100100220021222120
420000230311000
5233401320334
621200404240
73221251440
oct1000546500
9310807876
10134401344
11699587a0
1239016680
1321ac9c2c
1413bc8120
15bbec949
hex802cd40

134401344 has 112 divisors (see below), whose sum is σ = 443398656. Its totient is φ = 34905600.

The previous prime is 134401339. The next prime is 134401349. The reversal of 134401344 is 443104431.

It is an interprime number because it is at equal distance from previous prime (134401339) and next prime (134401349).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134401349) 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, 10239 + ... + 19329.

Almost surely, 2134401344 is an apocalyptic number.

134401344 is a gapful number since it is divisible by the number (14) 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 134401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221699328).

134401344 is an abundant number, since it is smaller than the sum of its proper divisors (308997312).

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

134401344 is a wasteful number, since it uses less digits than its factorization.

134401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124 (or 9114 counting only the distinct ones).

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

The square root of 134401344 is about 11593.1593623136. The cubic root of 134401344 is about 512.2333734282.

Adding to 134401344 its reverse (443104431), we get a palindrome (577505775).

The spelling of 134401344 in words is "one hundred thirty-four million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 9091 14784 18182 27273 36364 54546 63637 72728 100001 109092 127274 145456 190911 200002 218184 254548 290912 300003 381822 400004 436368 509096 581824 600006 700007 763644 800008 872736 1018192 1200012 1400014 1527288 1600016 1745472 2036384 2100021 2400024 2800028 3054576 3200032 4072768 4200042 4800048 5600056 6109152 6400064 8400084 9600096 11200112 12218304 16800168 19200192 22400224 33600336 44800448 67200672 134401344