Search a number
-
+
2313483336 = 2333232112207
BaseRepresentation
bin1000100111100100…
…1111010001001000
312222020020010112000
42021321033101020
514214222431321
61021321551000
7111221166243
oct21171172110
95866203460
102313483336
11a879a02aa
12546945460
132ab3b6368
1417d37c25a
15d8186826
hex89e4f448

2313483336 has 128 divisors (see below), whose sum is σ = 6740582400. Its totient is φ = 733803840.

The previous prime is 2313483331. The next prime is 2313483371. The reversal of 2313483336 is 6333843132.

2313483336 is a `hidden beast` number, since 2 + 313 + 4 + 8 + 3 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2313483336.

It is not an unprimeable number, because it can be changed into a prime (2313483331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047145 + ... + 1049351.

It is an arithmetic number, because the mean of its divisors is an integer number (52660800).

Almost surely, 22313483336 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 2313483336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370291200).

2313483336 is an abundant number, since it is smaller than the sum of its proper divisors (4427099064).

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

2313483336 is a wasteful number, since it uses less digits than its factorization.

2313483336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2446 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 2313483336 is about 48098.6833083817. The cubic root of 2313483336 is about 1322.5805304240.

The spelling of 2313483336 in words is "two billion, three hundred thirteen million, four hundred eighty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 211 216 276 414 422 552 621 633 828 844 1242 1266 1656 1688 1899 2207 2484 2532 3798 4414 4853 4968 5064 5697 6621 7596 8828 9706 11394 13242 14559 15192 17656 19412 19863 22788 26484 29118 38824 39726 43677 45576 50761 52968 58236 59589 79452 87354 101522 116472 119178 131031 152283 158904 174708 203044 238356 262062 304566 349416 406088 456849 465677 476712 524124 609132 913698 931354 1048248 1218264 1370547 1397031 1827396 1862708 2741094 2794062 3654792 3725416 4191093 5482188 5588124 8382186 10710571 10964376 11176248 12573279 16764372 21421142 25146558 32131713 33528744 42842284 50293116 64263426 85684568 96395139 100586232 128526852 192790278 257053704 289185417 385580556 578370834 771161112 1156741668 2313483336