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3002436164 = 22713171925537
BaseRepresentation
bin1011001011110101…
…1000101001000100
321202020121120010102
42302331120221010
522122110424124
61213532343232
7134255200130
oct26275305104
97666546112
103002436164
111300884802
126b9614b18
1338b058360
14206a7c3c0
151288c5aae
hexb2f58a44

3002436164 has 96 divisors (see below), whose sum is σ = 7207845120. Its totient is φ = 1059028992.

The previous prime is 3002436163. The next prime is 3002436179. The reversal of 3002436164 is 4616342003.

It is not an unprimeable number, because it can be changed into a prime (3002436161) 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, 104804 + ... + 130340.

It is an arithmetic number, because the mean of its divisors is an integer number (75081720).

Almost surely, 23002436164 is an apocalyptic number.

3002436164 is a gapful number since it is divisible by the number (34) 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 3002436164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603922560).

3002436164 is an abundant number, since it is smaller than the sum of its proper divisors (4205408956).

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

3002436164 is a wasteful number, since it uses less digits than its factorization.

3002436164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25597 (or 25595 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 3002436164 is about 54794.4902704642. The cubic root of 3002436164 is about 1442.6398598457.

Adding to 3002436164 its reverse (4616342003), we get a palindrome (7618778167).

The spelling of 3002436164 in words is "three billion, two million, four hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 17 19 26 28 34 38 52 68 76 91 119 133 182 221 238 247 266 323 364 442 476 494 532 646 884 988 1292 1547 1729 2261 3094 3458 4199 4522 6188 6916 8398 9044 16796 25537 29393 51074 58786 102148 117572 178759 331981 357518 434129 485203 663962 715036 868258 970406 1327924 1736516 1940812 2323867 3038903 3396421 4647734 5643677 6077806 6307639 6792842 8248451 9295468 11287354 12155612 12615278 13585684 16496902 22574708 25230556 32993804 39505739 44153473 57739157 79011478 88306946 107229863 115478314 158022956 176613892 214459726 230956628 428919452 750609041 1501218082 3002436164