Search a number
-
+
299864448 = 27321320023
BaseRepresentation
bin10001110111111…
…001000110000000
3202220020200200200
4101313321012000
51103231130243
645431045200
710300543242
oct2167710600
9686220620
10299864448
111442a1664
1284510800
134a1811b0
142bb7a092
151b4d3ad3
hex11df9180

299864448 has 96 divisors (see below), whose sum is σ = 929313840. Its totient is φ = 92261376.

The previous prime is 299864423. The next prime is 299864449. The reversal of 299864448 is 844468992.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 299864394 and 299864403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299864449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4965 + ... + 24987.

Almost surely, 2299864448 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 299864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464656920).

299864448 is an abundant number, since it is smaller than the sum of its proper divisors (629449392).

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

299864448 is a wasteful number, since it uses less digits than its factorization.

299864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20056 (or 20041 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 299864448 is about 17316.5945843864. The cubic root of 299864448 is about 669.3321093646.

The spelling of 299864448 in words is "two hundred ninety-nine million, eight hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 20023 40046 60069 80092 120138 160184 180207 240276 260299 320368 360414 480552 520598 640736 720828 780897 961104 1041196 1281472 1441656 1561794 1922208 2082392 2342691 2562944 2883312 3123588 3844416 4164784 4685382 5766624 6247176 7688832 8329568 9370764 11533248 12494352 16659136 18741528 23066496 24988704 33318272 37483056 49977408 74966112 99954816 149932224 299864448