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2300000312 = 231719279593
BaseRepresentation
bin1000100100010111…
…0011100000111000
312221021212010021202
42021011303200320
514202300002222
61020120553332
7110665452161
oct21105634070
95837763252
102300000312
11a80321305
12542322848
132a867533c
1417b66c768
15d6dc1892
hex89173838

2300000312 has 96 divisors (see below), whose sum is σ = 4888382400. Its totient is φ = 1010700288.

The previous prime is 2300000309. The next prime is 2300000333. The reversal of 2300000312 is 2130000032.

It is a junction number, because it is equal to n+sod(n) for n = 2300000293 and 2300000302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3878288 + ... + 3878880.

It is an arithmetic number, because the mean of its divisors is an integer number (50920650).

Almost surely, 22300000312 is an apocalyptic number.

It is an amenable number.

2300000312 is an abundant number, since it is smaller than the sum of its proper divisors (2588382088).

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

2300000312 is a wasteful number, since it uses less digits than its factorization.

2300000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2300000312 is about 47958.3184859519. The cubic root of 2300000312 is about 1320.0061814831.

Adding to 2300000312 its reverse (2130000032), we get a palindrome (4430000344).

The spelling of 2300000312 in words is "two billion, three hundred million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 17 19 34 38 68 76 79 136 152 158 316 323 361 593 632 646 722 1186 1292 1343 1444 1501 2372 2584 2686 2888 3002 4744 5372 6004 6137 10081 10744 11267 12008 12274 20162 22534 24548 25517 28519 40324 45068 46847 49096 51034 57038 80648 90136 93694 102068 114076 187388 191539 204136 214073 228152 374776 383078 428146 484823 766156 796399 856292 890093 969646 1532312 1592798 1712584 1780186 1939292 3185596 3560372 3639241 3878584 6371192 7120744 7278482 14556964 15131581 16911767 29113928 30263162 33823534 60526324 67647068 121052648 135294136 287500039 575000078 1150000156 2300000312