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2002043034 = 233192298521
BaseRepresentation
bin111011101010100…
…1100000010011010
312011112012022202000
41313111030002122
513100010334114
6530354421430
7100420041105
oct16725140232
95145168660
102002043034
11938112622
1247a591876
1325ba11264
1414dc6b73c
15bab67e09
hex7754c09a

2002043034 has 64 divisors (see below), whose sum is σ = 4704144000. Its totient is φ = 629389440.

The previous prime is 2002042967. The next prime is 2002043039. The reversal of 2002043034 is 4303402002.

2002043034 is a `hidden beast` number, since 200 + 2 + 0 + 430 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2002042998 and 2002043016.

It is not an unprimeable number, because it can be changed into a prime (2002043039) 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, 230694 + ... + 239214.

It is an arithmetic number, because the mean of its divisors is an integer number (73502250).

Almost surely, 22002043034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002043034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352072000).

2002043034 is an abundant number, since it is smaller than the sum of its proper divisors (2702100966).

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

2002043034 is a wasteful number, since it uses less digits than its factorization.

2002043034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2002043034 is about 44744.1955341696. The cubic root of 2002043034 is about 1260.3499141543.

Adding to 2002043034 its reverse (4303402002), we get a palindrome (6305445036).

The spelling of 2002043034 in words is "two billion, two million, forty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 229 342 458 513 687 1026 1374 2061 4122 4351 6183 8521 8702 12366 13053 17042 25563 26106 39159 51126 76689 78318 117477 153378 161899 230067 234954 323798 460134 485697 971394 1457091 1951309 2914182 3902618 4371273 5853927 8742546 11707854 17561781 35123562 37074871 52685343 74149742 105370686 111224613 222449226 333673839 667347678 1001021517 2002043034