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307712106 = 2321319671033
BaseRepresentation
bin10010010101110…
…101000001101010
3210110000101122200
4102111311001222
51112233241411
650311201030
710424336562
oct2225650152
9713011580
10307712106
11148771729
1287076176
134b99b190
142cc1dda2
151c033e56
hex1257506a

307712106 has 96 divisors (see below), whose sum is σ = 767807040. Its totient is φ = 88273152.

The previous prime is 307712089. The next prime is 307712129. The reversal of 307712106 is 601217703.

It is a self number, because there is not a number n which added to its sum of digits gives 307712106.

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 47 ways as a sum of consecutive naturals, for example, 297366 + ... + 298398.

It is an arithmetic number, because the mean of its divisors is an integer number (7997990).

Almost surely, 2307712106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307712106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383903520).

307712106 is an abundant number, since it is smaller than the sum of its proper divisors (460094934).

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

307712106 is a wasteful number, since it uses less digits than its factorization.

307712106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 307712106 is about 17541.7247156601. The cubic root of 307712106 is about 675.1208606628.

Adding to 307712106 its reverse (601217703), we get a palindrome (908929809).

The spelling of 307712106 in words is "three hundred seven million, seven hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 67 78 114 117 134 171 201 234 247 342 402 494 603 741 871 1033 1206 1273 1482 1742 2066 2223 2546 2613 3099 3819 4446 5226 6198 7638 7839 9297 11457 13429 15678 16549 18594 19627 22914 26858 33098 39254 40287 49647 58881 69211 80574 99294 117762 120861 138422 148941 176643 207633 241722 255151 297882 353286 415266 510302 622899 765453 899743 1245798 1315009 1530906 1799486 2296359 2630018 2699229 3945027 4592718 5398458 7890054 8097687 11835081 16195374 17095117 23670162 34190234 51285351 102570702 153856053 307712106