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501343668 = 223471713003
BaseRepresentation
bin11101111000011…
…110010110110100
31021221100220020000
4131320132112310
52011320444133
6121425311300
715265231230
oct3570362664
91257326200
10501343668
11237aa4a11
1211ba95530
137cb35877
144a8255c0
152e031413
hex1de1e5b4

501343668 has 120 divisors (see below), whose sum is σ = 1586071872. Its totient is φ = 134804736.

The previous prime is 501343663. The next prime is 501343669. The reversal of 501343668 is 866343105.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501343663) 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 39 ways as a sum of consecutive naturals, for example, 32055 + ... + 45057.

Almost surely, 2501343668 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 501343668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793035936).

501343668 is an abundant number, since it is smaller than the sum of its proper divisors (1084728204).

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

501343668 is a wasteful number, since it uses less digits than its factorization.

501343668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13043 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 501343668 is about 22390.7049464728. The cubic root of 501343668 is about 794.4108700514.

The spelling of 501343668 in words is "five hundred one million, three hundred forty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 13003 19278 26006 38556 39009 52012 78018 91021 117027 156036 182042 221051 234054 273063 351081 364084 442102 468108 546126 663153 702162 819189 884204 1053243 1092252 1326306 1404324 1547357 1638378 1989459 2106486 2457567 2652612 3094714 3276756 3978918 4212972 4642071 4915134 5968377 6189428 7372701 7957836 9284142 9830268 11936754 13926213 14745402 17905131 18568284 23873508 27852426 29490804 35810262 41778639 55704852 71620524 83557278 125335917 167114556 250671834 501343668