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2002031304 = 2337137112911
BaseRepresentation
bin111011101010100…
…1001001011001000
312011112011201122120
41313111021023020
513100010000204
6530354251240
7100416661650
oct16725111310
95145151576
102002031304
11938104829
1247a586b20
1325ba08b10
1414dc67360
15bab646d9
hex775492c8

2002031304 has 128 divisors (see below), whose sum is σ = 6247342080. Its totient is φ = 520531200.

The previous prime is 2002031303. The next prime is 2002031329. The reversal of 2002031304 is 4031302002.

It is not an unprimeable number, because it can be changed into a prime (2002031303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148609 + ... + 161519.

It is an arithmetic number, because the mean of its divisors is an integer number (48807360).

Almost surely, 22002031304 is an apocalyptic number.

2002031304 is a gapful number since it is divisible by the number (24) 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 2002031304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123671040).

2002031304 is an abundant number, since it is smaller than the sum of its proper divisors (4245310776).

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

2002031304 is a wasteful number, since it uses less digits than its factorization.

2002031304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2002031304 is about 44744.0644555230. The cubic root of 2002031304 is about 1260.3474526799.

Adding to 2002031304 its reverse (4031302002), we get a palindrome (6033333306).

The spelling of 2002031304 in words is "two billion, two million, thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 71 78 84 91 104 142 156 168 182 213 273 284 312 364 426 497 546 568 728 852 923 994 1092 1491 1704 1846 1988 2184 2769 2982 3692 3976 5538 5964 6461 7384 11076 11928 12911 12922 19383 22152 25822 25844 38733 38766 51644 51688 77466 77532 90377 103288 154932 155064 167843 180754 271131 309864 335686 361508 503529 542262 671372 723016 916681 1007058 1084524 1174901 1342744 1833362 2014116 2169048 2349802 2750043 3524703 3666724 4028232 4699604 5500086 6416767 7049406 7333448 9399208 11000172 11916853 12833534 14098812 19250301 22000344 23833706 25667068 28197624 35750559 38500602 47667412 51334136 71501118 77001204 83417971 95334824 143002236 154002408 166835942 250253913 286004472 333671884 500507826 667343768 1001015652 2002031304