Search a number
-
+
2930316032 = 2872792957
BaseRepresentation
bin1010111010101001…
…0001001100000000
321120012220110220102
42232222101030000
522000130103112
61202434501532
7132421163300
oct25652211400
97505813812
102930316032
1112740a5896
126994348a8
13379126817
141db267600
151223cbbc2
hexaea91300

2930316032 has 108 divisors (see below), whose sum is σ = 6892613280. Its totient is φ = 1239533568.

The previous prime is 2930316031. The next prime is 2930316071. The reversal of 2930316032 is 2306130392.

It is a junction number, because it is equal to n+sod(n) for n = 2930315986 and 2930316004.

It is not an unprimeable number, because it can be changed into a prime (2930316031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989498 + ... + 992454.

Almost surely, 22930316032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446306640).

2930316032 is an abundant number, since it is smaller than the sum of its proper divisors (3962297248).

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

2930316032 is an equidigital number, since it uses as much as digits as its factorization.

2930316032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 2930316032 is about 54132.3935550609. The cubic root of 2930316032 is about 1430.9951232749.

The spelling of 2930316032 in words is "two billion, nine hundred thirty million, three hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 196 224 256 316 392 448 553 632 784 896 1106 1264 1568 1792 2212 2528 2957 3136 3871 4424 5056 5914 6272 7742 8848 10112 11828 12544 15484 17696 20224 20699 23656 30968 35392 41398 47312 61936 70784 82796 94624 123872 141568 144893 165592 189248 233603 247744 289786 331184 378496 467206 495488 579572 662368 756992 934412 990976 1159144 1324736 1635221 1868824 2318288 2649472 3270442 3737648 4636576 5298944 6540884 7475296 9273152 11446547 13081768 14950592 18546304 22893094 26163536 29901184 37092608 45786188 52327072 59802368 91572376 104654144 183144752 209308288 366289504 418616576 732579008 1465158016 2930316032