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134453264 = 24112371877
BaseRepresentation
bin10000000001110…
…01100000010000
3100100222221012112
420000321200100
5233410001024
621201444452
73221556011
oct1000714020
9310887175
10134453264
1169993800
1239040728
1321b1775a
1413bdd008
15bc0d00e
hex8039810

134453264 has 60 divisors (see below), whose sum is σ = 294233772. Its totient is φ = 59431680.

The previous prime is 134453261. The next prime is 134453287. The reversal of 134453264 is 462354431.

It can be written as a sum of positive squares in 2 ways, for example, as 104203264 + 30250000 = 10208^2 + 5500^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134453264.

It is not an unprimeable number, because it can be changed into a prime (134453261) 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, 70694 + ... + 72570.

Almost surely, 2134453264 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 134453264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147116886).

134453264 is an abundant number, since it is smaller than the sum of its proper divisors (159780508).

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

134453264 is a wasteful number, since it uses less digits than its factorization.

134453264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1927 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 134453264 is about 11595.3983976403. The cubic root of 134453264 is about 512.2993244871.

The spelling of 134453264 in words is "one hundred thirty-four million, four hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 121 148 176 242 296 407 484 592 814 968 1628 1877 1936 3256 3754 4477 6512 7508 8954 15016 17908 20647 30032 35816 41294 69449 71632 82588 138898 165176 227117 277796 330352 454234 555592 763939 908468 1111184 1527878 1816936 3055756 3633872 6111512 8403329 12223024 16806658 33613316 67226632 134453264