Search a number
-
+
3130002306 = 2322910756039
BaseRepresentation
bin1011101010010000…
…0000101110000010
322002010122120222100
42322210000232002
522402240033211
61234330451230
7140364403104
oct27244005602
98063576870
103130002306
111366894072
12734293b16
133ab601092
142199a7574
15134bc3156
hexba900b82

3130002306 has 48 divisors (see below), whose sum is σ = 7081214400. Its totient is φ = 997924704.

The previous prime is 3130002301. The next prime is 3130002307. The reversal of 3130002306 is 6032000313.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3130002301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27835 + ... + 83873.

It is an arithmetic number, because the mean of its divisors is an integer number (147525300).

Almost surely, 23130002306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130002306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540607200).

3130002306 is an abundant number, since it is smaller than the sum of its proper divisors (3951212094).

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

3130002306 is a wasteful number, since it uses less digits than its factorization.

3130002306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56183 (or 56180 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3130002306 is about 55946.4235318041. The cubic root of 3130002306 is about 1462.7885509109.

Adding to 3130002306 its reverse (6032000313), we get a palindrome (9162002619).

The spelling of 3130002306 in words is "three billion, one hundred thirty million, two thousand, three hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 107 174 214 261 321 522 642 963 1926 3103 6206 9309 18618 27927 55854 56039 112078 168117 336234 504351 1008702 1625131 3250262 4875393 5996173 9750786 11992346 14626179 17988519 29252358 35977038 53965557 107931114 173889017 347778034 521667051 1043334102 1565001153 3130002306