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387423288 = 233273372281
BaseRepresentation
bin10111000101111…
…001110000111000
31000000000010211200
4113011321300320
51243140021123
6102235454200
712413020650
oct2705716070
91000003750
10387423288
1118976593a
12a98b7360
1362359c65
143964d360
152402c143
hex17179c38

387423288 has 96 divisors (see below), whose sum is σ = 1203252960. Its totient is φ = 110315520.

The previous prime is 387423277. The next prime is 387423299. The reversal of 387423288 is 882324783.

It is an interprime number because it is at equal distance from previous prime (387423277) and next prime (387423299).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168708 + ... + 170988.

It is an arithmetic number, because the mean of its divisors is an integer number (12533885).

Almost surely, 2387423288 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 387423288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601626480).

387423288 is an abundant number, since it is smaller than the sum of its proper divisors (815829672).

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

387423288 is a wasteful number, since it uses less digits than its factorization.

387423288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2630 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 387423288 is about 19683.0711018377. The cubic root of 387423288 is about 729.0017555999.

The spelling of 387423288 in words is "three hundred eighty-seven million, four hundred twenty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 337 504 674 1011 1348 2022 2281 2359 2696 3033 4044 4562 4718 6066 6843 7077 8088 9124 9436 12132 13686 14154 15967 18248 18872 20529 21231 24264 27372 28308 31934 41058 42462 47901 54744 56616 63868 82116 84924 95802 127736 143703 164232 169848 191604 287406 383208 574812 768697 1149624 1537394 2306091 3074788 4612182 5380879 6149576 6918273 9224364 10761758 13836546 16142637 18448728 21523516 27673092 32285274 43047032 48427911 55346184 64570548 96855822 129141096 193711644 387423288