Search a number
-
+
34258045248 = 263278496539
BaseRepresentation
bin11111111001111100…
…000100100101000000
310021102111120000100200
4133321330010211000
51030130024421443
623423220445200
72321642402640
oct377174044500
9107374500320
1034258045248
111358a856499
126780b49800
1332cc5b50bb
14192db70520
15d57871dd3
hex7f9f04940

34258045248 has 84 divisors (see below), whose sum is σ = 112222300320. Its totient is φ = 9788011776.

The previous prime is 34258045207. The next prime is 34258045249. The reversal of 34258045248 is 84254085243.

34258045248 is a `hidden beast` number, since 3 + 4 + 2 + 580 + 45 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×342580452482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34258045249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4244238 + ... + 4252301.

Almost surely, 234258045248 is an apocalyptic number.

It is an amenable number.

34258045248 is an abundant number, since it is smaller than the sum of its proper divisors (77964255072).

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

34258045248 is a wasteful number, since it uses less digits than its factorization.

34258045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496564 (or 8496551 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 34258045248 in words is "thirty-four billion, two hundred fifty-eight million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 8496539 16993078 25489617 33986156 50979234 59475773 67972312 76468851 101958468 118951546 135944624 152937702 178427319 203916936 237903092 271889248 305875404 356854638 407833872 475806184 535281957 543778496 611750808 713709276 815667744 951612368 1070563914 1223501616 1427418552 1631335488 1903224736 2141127828 2447003232 2854837104 3806449472 4282255656 4894006464 5709674208 8564511312 11419348416 17129022624 34258045248