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386248980 = 2235133071613
BaseRepresentation
bin10111000001011…
…011000100010100
3222220210110222210
4113001123010110
51242334431410
6102154353420
712400030215
oct2701330424
9886713883
10386248980
11189033637
12a942b870
13620385c0
143942540c
1523d99220
hex1705b114

386248980 has 96 divisors (see below), whose sum is σ = 1169207424. Its totient is φ = 94708224.

The previous prime is 386248979. The next prime is 386248981. The reversal of 386248980 is 89842683.

It is a happy number.

386248980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (386248979) and next prime (386248981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386248981) 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, 238654 + ... + 240266.

It is an arithmetic number, because the mean of its divisors is an integer number (12179244).

Almost surely, 2386248980 is an apocalyptic number.

386248980 is a gapful number since it is divisible by the number (30) 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 386248980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584603712).

386248980 is an abundant number, since it is smaller than the sum of its proper divisors (782958444).

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

386248980 is a wasteful number, since it uses less digits than its factorization.

386248980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 386248980 is about 19653.2180571020. The cubic root of 386248980 is about 728.2644578183.

The spelling of 386248980 in words is "three hundred eighty-six million, two hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 307 390 614 780 921 1228 1535 1613 1842 3070 3226 3684 3991 4605 4839 6140 6452 7982 8065 9210 9678 11973 15964 16130 18420 19356 19955 20969 23946 24195 32260 39910 41938 47892 48390 59865 62907 79820 83876 96780 104845 119730 125814 209690 239460 251628 314535 419380 495191 629070 990382 1258140 1485573 1980764 2475955 2971146 4951910 5942292 6437483 7427865 9903820 12874966 14855730 19312449 25749932 29711460 32187415 38624898 64374830 77249796 96562245 128749660 193124490 386248980