Search a number
-
+
3000016316 = 221117231031693
BaseRepresentation
bin1011001011010000…
…1001110110111100
321202002001121201102
42302310021312330
522121001010231
61213404432232
7134225501153
oct26264116674
97662047642
103000016316
1112aa481730
126b8848678
1338a6bbaab
1420660c59a
15128598acb
hexb2d09dbc

3000016316 has 96 divisors (see below), whose sum is σ = 6393074688. Its totient is φ = 1214991360.

The previous prime is 3000016297. The next prime is 3000016319. The reversal of 3000016316 is 6136100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000016319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771166 + ... + 1772858.

It is an arithmetic number, because the mean of its divisors is an integer number (66594528).

Almost surely, 23000016316 is an apocalyptic number.

It is an amenable number.

3000016316 is an abundant number, since it is smaller than the sum of its proper divisors (3393058372).

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

3000016316 is a wasteful number, since it uses less digits than its factorization.

3000016316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3000016316 is about 54772.4046943349. The cubic root of 3000016316 is about 1442.2521849409.

Adding to 3000016316 its reverse (6136100003), we get a palindrome (9136116319).

The spelling of 3000016316 in words is "three billion, sixteen thousand, three hundred sixteen".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 103 187 206 253 374 391 412 506 748 782 1012 1133 1564 1693 1751 2266 2369 3386 3502 4301 4532 4738 6772 7004 8602 9476 17204 18623 19261 26059 28781 37246 38522 38939 40273 52118 57562 74492 77044 77878 80546 104236 115124 155756 161092 174379 316591 348758 428329 443003 633182 661963 697516 856658 886006 1266364 1323926 1713316 1772012 1918169 2647852 2964443 3836338 4010717 5928886 7281593 7672676 8021434 11857772 14563186 16042868 29126372 32608873 44117887 65217746 68182189 88235774 130435492 136364378 176471548 272728756 750004079 1500008158 3000016316