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134406288 = 24326713931
BaseRepresentation
bin10000000001011…
…10000010010000
3100100220112202200
420000232002100
5233402000123
621200443200
73221302032
oct1000560220
9310815680
10134406288
1169961485
1239019500
1321acc263
1413bc9c52
15bbee143
hex802e090

134406288 has 60 divisors (see below), whose sum is σ = 381792528. Its totient is φ = 44130240.

The previous prime is 134406263. The next prime is 134406289. The reversal of 134406288 is 882604431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134406289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2683 + ... + 16613.

Almost surely, 2134406288 is an apocalyptic number.

134406288 is a gapful number since it is divisible by the number (18) 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 134406288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190896264).

134406288 is an abundant number, since it is smaller than the sum of its proper divisors (247386240).

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

134406288 is a wasteful number, since it uses less digits than its factorization.

134406288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14012 (or 14003 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 134406288 is about 11593.3725895444. The cubic root of 134406288 is about 512.2396542452.

The spelling of 134406288 in words is "one hundred thirty-four million, four hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 13931 27862 41793 55724 83586 111448 125379 167172 222896 250758 334344 501516 668688 933377 1003032 1866754 2006064 2800131 3733508 5600262 7467016 8400393 11200524 14934032 16800786 22401048 33601572 44802096 67203144 134406288