Search a number
-
+
2308008032 = 251131257823
BaseRepresentation
bin1000100110010001…
…0110100001100000
312221211220221210222
42021210112201200
514211322224112
61021004342212
7111123513251
oct21144264140
95854827728
102308008032
11a848a0660
12544b44968
132aa21a135
1417c754b28
15d7954372
hex89916860

2308008032 has 96 divisors (see below), whose sum is σ = 5143025664. Its totient is φ = 1010073600.

The previous prime is 2308008023. The next prime is 2308008061.

2308008032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2308007992 and 2308008010.

It is a congruent number.

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, 2803973 + ... + 2804795.

It is an arithmetic number, because the mean of its divisors is an integer number (53573184).

Almost surely, 22308008032 is an apocalyptic number.

2308008032 is a gapful number since it is divisible by the number (22) 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 2308008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571512832).

2308008032 is an abundant number, since it is smaller than the sum of its proper divisors (2835017632).

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

2308008032 is a wasteful number, since it uses less digits than its factorization.

2308008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2308008032 is about 48041.7321919183. The cubic root of 2308008032 is about 1321.5363256809.

It can be divided in two parts, 230800 and 8032, that added together give a palindrome (238832).

The spelling of 2308008032 in words is "two billion, three hundred eight million, eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 257 341 352 496 514 682 823 992 1028 1364 1646 2056 2728 2827 3292 4112 5456 5654 6584 7967 8224 9053 10912 11308 13168 15934 18106 22616 25513 26336 31868 36212 45232 51026 63736 72424 87637 90464 102052 127472 144848 175274 204104 211511 254944 280643 289696 350548 408208 423022 561286 701096 816416 846044 1122572 1402192 1692088 2245144 2326621 2804384 3384176 4490288 4653242 6556841 6768352 8980576 9306484 13113682 18612968 26227364 37225936 52454728 72125251 74451872 104909456 144250502 209818912 288501004 577002008 1154004016 2308008032