Search a number
-
+
1308188340 = 2233513717683
BaseRepresentation
bin100110111111001…
…0101111010110100
310101011120212001000
41031332111322310
510134344011330
6333451003300
744263263114
oct11576257264
93334525030
101308188340
11611490298
12306139530
1317b044054
14c5a53044
1579cab560
hex4df95eb4

1308188340 has 96 divisors (see below), whose sum is σ = 4099858560. Its totient is φ = 346284288.

The previous prime is 1308188311. The next prime is 1308188351. The reversal of 1308188340 is 438818031.

1308188340 is a `hidden beast` number, since 1 + 308 + 1 + 8 + 8 + 340 = 666.

It is a super-2 number, since 2×13081883402 = 3422713465823911200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1308188295 and 1308188304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65139 + ... + 82821.

It is an arithmetic number, because the mean of its divisors is an integer number (42706860).

Almost surely, 21308188340 is an apocalyptic number.

1308188340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1308188340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049929280).

1308188340 is an abundant number, since it is smaller than the sum of its proper divisors (2791670220).

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

1308188340 is a wasteful number, since it uses less digits than its factorization.

1308188340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17838 (or 17830 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1308188340 is about 36168.8863527756. The cubic root of 1308188340 is about 1093.6795492472.

The spelling of 1308188340 in words is "one billion, three hundred eight million, one hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 17683 18495 24660 35366 36990 53049 70732 73980 88415 106098 159147 176830 212196 265245 318294 353660 477441 530490 636588 795735 954882 1060980 1591470 1909764 2387205 2422571 3182940 4774410 4845142 7267713 9548820 9690284 12112855 14535426 21803139 24225710 29070852 36338565 43606278 48451420 65409417 72677130 87212556 109015695 130818834 145354260 218031390 261637668 327047085 436062780 654094170 1308188340