Search a number
-
+
504068334 = 23711371127
BaseRepresentation
bin11110000010110…
…111100011101110
31022010111022202120
4132002313203232
52013020141314
6122003533410
715330336660
oct3602674356
91263438676
10504068334
11239596000
1212098a266
138057aab3
144ad34530
152e3bd8a9
hex1e0b78ee

504068334 has 128 divisors (see below), whose sum is σ = 1295253504. Its totient is φ = 128066400.

The previous prime is 504068311. The next prime is 504068359. The reversal of 504068334 is 433860405.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 504068295 and 504068304.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3968979 + ... + 3969105.

It is an arithmetic number, because the mean of its divisors is an integer number (10119168).

Almost surely, 2504068334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504068334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647626752).

504068334 is an abundant number, since it is smaller than the sum of its proper divisors (791185170).

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

504068334 is a wasteful number, since it uses less digits than its factorization.

504068334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 504068334 is about 22451.4661882025. The cubic root of 504068334 is about 795.8474062099.

The spelling of 504068334 in words is "five hundred four million, sixty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 121 127 142 154 213 231 242 254 363 381 426 462 497 726 762 781 847 889 994 1331 1397 1491 1562 1694 1778 2343 2541 2662 2667 2794 2982 3993 4191 4686 5082 5334 5467 7986 8382 8591 9017 9317 9779 10934 15367 16401 17182 18034 18634 19558 25773 27051 27951 29337 30734 32802 46101 51546 54102 55902 58674 60137 63119 92202 94501 99187 107569 120274 126238 169037 180411 189002 189357 198374 215138 283503 297561 322707 338074 360822 378714 507111 567006 595122 645414 661507 694309 1014222 1091057 1183259 1323014 1388618 1984521 2082927 2182114 2366518 3273171 3549777 3969042 4165854 6546342 7099554 7637399 12001627 15274798 22912197 24003254 36004881 45824394 72009762 84011389 168022778 252034167 504068334