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2152304304 = 2432318110771
BaseRepresentation
bin1000000001001001…
…1000111010110000
312112222221101110020
42000102120322300
513401442214204
6553323203440
7104223166443
oct20022307260
95488841406
102152304304
11a04a13097
12500976580
13283ba2057
14165bc365a
15c8e49bd9
hex80498eb0

2152304304 has 80 divisors (see below), whose sum is σ = 5834459904. Its totient is φ = 682387200.

The previous prime is 2152304293. The next prime is 2152304311. The reversal of 2152304304 is 4034032512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194439 + ... + 205209.

Almost surely, 22152304304 is an apocalyptic number.

2152304304 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 2152304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917229952).

2152304304 is an abundant number, since it is smaller than the sum of its proper divisors (3682155600).

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

2152304304 is a wasteful number, since it uses less digits than its factorization.

2152304304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2152304304 is about 46392.9337722891. The cubic root of 2152304304 is about 1291.1238136603.

Adding to 2152304304 its reverse (4034032512), we get a palindrome (6186336816).

The spelling of 2152304304 in words is "two billion, one hundred fifty-two million, three hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 181 184 276 362 368 543 552 724 1086 1104 1448 2172 2896 4163 4344 8326 8688 10771 12489 16652 21542 24978 32313 33304 43084 49956 64626 66608 86168 99912 129252 172336 199824 247733 258504 495466 517008 743199 990932 1486398 1949551 1981864 2972796 3899102 3963728 5848653 5945592 7798204 11697306 11891184 15596408 23394612 31192816 44839673 46789224 89679346 93578448 134519019 179358692 269038038 358717384 538076076 717434768 1076152152 2152304304