Search a number
-
+
308108984320 = 21752292053
BaseRepresentation
bin1000111101111001011…
…10100000000000000000
31002110021122102010000201
410132330232200000000
520022001344444240
6353313204454544
731155141104134
oct4367456400000
91073248363021
10308108984320
11109739542235
124b8690aa454
1323092b0c997
1410cac0993c4
158034535d9a
hex47bcba0000

308108984320 has 144 divisors (see below), whose sum is σ = 743049576360. Its totient is φ = 122645643264.

The previous prime is 308108984243. The next prime is 308108984333. The reversal of 308108984320 is 23489801803.

It can be written as a sum of positive squares in 4 ways, for example, as 296493318144 + 11615666176 = 544512^2 + 107776^2 .

It is a super-3 number, since 3×3081089843203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150076414 + ... + 150078466.

Almost surely, 2308108984320 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 308108984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371524788180).

308108984320 is an abundant number, since it is smaller than the sum of its proper divisors (434940592040).

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

308108984320 is an frugal number, since it uses more digits than its factorization.

308108984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 308108984320 in words is "three hundred eight billion, one hundred eight million, nine hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 256 320 458 512 640 916 1024 1145 1280 1832 2048 2053 2290 2560 3664 4096 4106 4580 5120 7328 8192 8212 9160 10240 10265 14656 16384 16424 18320 20480 20530 29312 32768 32848 36640 40960 41060 58624 65536 65696 73280 81920 82120 117248 131072 131392 146560 163840 164240 234496 262784 293120 327680 328480 468992 470137 525568 586240 655360 656960 937984 940274 1051136 1172480 1313920 1875968 1880548 2102272 2344960 2350685 2627840 3751936 3761096 4204544 4689920 4701370 5255680 7503872 7522192 8409088 9379840 9402740 10511360 15007744 15044384 16818176 18759680 18805480 21022720 30015488 30088768 33636352 37519360 37610960 42045440 60177536 67272704 75038720 75221920 84090880 120355072 134545408 150077440 150443840 168181760 240710144 269090816 300887680 336363520 481420288 601775360 672727040 962840576 1203550720 1345454080 1925681152 2407101440 3851362304 4814202880 7702724608 9628405760 15405449216 19256811520 30810898432 38513623040 61621796864 77027246080 154054492160 308108984320