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134344672 = 2572117789
BaseRepresentation
bin10000000000111…
…10111111100000
3100100210102020121
420000132333200
5233343012142
621155250024
73220624300
oct1000367740
9310712217
10134344672
116991a160
1238ba9914
1321aaa1b7
1413bb1600
15bbdac67
hex801efe0

134344672 has 72 divisors (see below), whose sum is σ = 335686680. Its totient is φ = 52335360.

The previous prime is 134344667. The next prime is 134344673. The reversal of 134344672 is 276443431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134344673) 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, 13354 + ... + 21142.

It is an arithmetic number, because the mean of its divisors is an integer number (4662315).

Almost surely, 2134344672 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 134344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167843340).

134344672 is an abundant number, since it is smaller than the sum of its proper divisors (201342008).

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

134344672 is a wasteful number, since it uses less digits than its factorization.

134344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7809 counting only the distinct ones).

The product of its digits is 48384, while the sum is 34.

The square root of 134344672 is about 11590.7149046122. The cubic root of 134344672 is about 512.1613667800.

The spelling of 134344672 in words is "one hundred thirty-four million, three hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 7789 8624 15578 17248 31156 54523 62312 85679 109046 124624 171358 218092 249248 342716 381661 436184 599753 685432 763322 872368 1199506 1370864 1526644 1744736 2399012 2741728 3053288 4198271 4798024 6106576 8396542 9596048 12213152 16793084 19192096 33586168 67172336 134344672