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312161304 = 233713373863
BaseRepresentation
bin10010100110110…
…011010000011000
3210202101102210210
4102212303100120
51114403130204
650550411120
710510220160
oct2246632030
9722342723
10312161304
11150230454
1288660aa0
134c898340
142d65b5a0
151c612389
hex129b3418

312161304 has 128 divisors (see below), whose sum is σ = 986711040. Its totient is φ = 80082432.

The previous prime is 312161299. The next prime is 312161329. The reversal of 312161304 is 403161213.

312161304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78877 + ... + 82739.

It is an arithmetic number, because the mean of its divisors is an integer number (7708680).

Almost surely, 2312161304 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 312161304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493355520).

312161304 is an abundant number, since it is smaller than the sum of its proper divisors (674549736).

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

312161304 is a wasteful number, since it uses less digits than its factorization.

312161304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 312161304 is about 17668.0871630180. The cubic root of 312161304 is about 678.3591522201.

Subtracting 312161304 from its reverse (403161213), we obtain a palindrome (90999909).

The spelling of 312161304 in words is "three hundred twelve million, one hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 3863 5772 6216 6734 7726 10101 11544 11589 13468 15452 20202 23178 26936 27041 30904 40404 46356 50219 54082 80808 81123 92712 100438 108164 142931 150657 162246 200876 216328 285862 301314 324492 351533 401752 428793 571724 602628 648984 703066 857586 1000517 1054599 1143448 1205256 1406132 1715172 1858103 2001034 2109198 2812264 3001551 3430344 3716206 4002068 4218396 5574309 6003102 7432412 8004136 8436792 11148618 12006204 13006721 14864824 22297236 24012408 26013442 39020163 44594472 52026884 78040326 104053768 156080652 312161304