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506243304 = 2333736833
BaseRepresentation
bin11110001011001…
…010100011101000
31022021120211021000
4132023022203220
52014044241204
6122122315000
715354666000
oct3613124350
91267524230
10506243304
1123a8410a6
12121658a60
1380b5ca68
144b33d000
152e69d039
hex1e2ca8e8

506243304 has 128 divisors (see below), whose sum is σ = 1640160000. Its totient is φ = 144619776.

The previous prime is 506243279. The next prime is 506243321. The reversal of 506243304 is 403342605.

506243304 is a `hidden beast` number, since 5 + 0 + 624 + 3 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70672 + ... + 77504.

It is an arithmetic number, because the mean of its divisors is an integer number (12813750).

Almost surely, 2506243304 is an apocalyptic number.

506243304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506243304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820080000).

506243304 is an abundant number, since it is smaller than the sum of its proper divisors (1133916696).

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

506243304 is a wasteful number, since it uses less digits than its factorization.

506243304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 506243304 is about 22499.8511995080. The cubic root of 506243304 is about 796.9904130138.

Adding to 506243304 its reverse (403342605), we get a palindrome (909585909).

The spelling of 506243304 in words is "five hundred six million, two hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 6833 8232 9261 10584 12348 13666 18522 20499 24696 27332 37044 40998 47831 54664 61497 74088 81996 95662 122994 143493 163992 184491 191324 245988 286986 334817 368982 382648 430479 491976 573972 669634 737964 860958 1004451 1147944 1291437 1339268 1475928 1721916 2008902 2343719 2582874 2678536 3013353 3443832 4017804 4687438 5165748 6026706 7031157 8035608 9040059 9374876 10331496 12053412 14062314 18080118 18749752 21093471 24106824 28124628 36160236 42186942 56249256 63280413 72320472 84373884 126560826 168747768 253121652 506243304