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468343980 = 2232513233859
BaseRepresentation
bin11011111010100…
…101110010101100
31012122021100011100
4123322211302230
51424344001410
6114250123100
714414600226
oct3372456254
91178240140
10468343980
11220405845
12110a20490
1376050420
14462b5416
152b1b38c0
hex1bea5cac

468343980 has 144 divisors (see below), whose sum is σ = 1538278560. Its totient is φ = 114656256.

The previous prime is 468343979. The next prime is 468343991. The reversal of 468343980 is 89343864.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 544791 + ... + 545649.

It is an arithmetic number, because the mean of its divisors is an integer number (10682490).

Almost surely, 2468343980 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 468343980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769139280).

468343980 is an abundant number, since it is smaller than the sum of its proper divisors (1069934580).

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

468343980 is a wasteful number, since it uses less digits than its factorization.

468343980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 468343980 is about 21641.2564330262. The cubic root of 468343980 is about 776.5837775155.

The spelling of 468343980 in words is "four hundred sixty-eight million, three hundred forty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 233 234 260 390 466 468 585 699 780 859 932 1165 1170 1398 1718 2097 2330 2340 2577 2796 3029 3436 3495 4194 4295 4660 5154 6058 6990 7731 8388 8590 9087 10308 10485 11167 12116 12885 13980 15145 15462 17180 18174 20970 22334 25770 27261 30290 30924 33501 36348 38655 41940 44668 45435 51540 54522 55835 60580 67002 77310 90870 100503 109044 111670 134004 136305 154620 167505 181740 200147 201006 223340 272610 335010 400294 402012 502515 545220 600441 670020 800588 1000735 1005030 1200882 1801323 2001470 2010060 2401764 2601911 3002205 3602646 4002940 5203822 6004410 7205292 7805733 9006615 10407644 12008820 13009555 15611466 18013230 23417199 26019110 31222932 36026460 39028665 46834398 52038220 78057330 93668796 117085995 156114660 234171990 468343980