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385930300 = 225274791151
BaseRepresentation
bin10111000000001…
…101010000111100
3222220012021211211
4113000031100330
51242244232200
6102143454204
712364232140
oct2700152074
9886167754
10385930300
11188936168
12a92b7364
1361c56532
1439381220
1523d34aba
hex1700d43c

385930300 has 72 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 131928000.

The previous prime is 385930291. The next prime is 385930319. The reversal of 385930300 is 3039583.

It is a super-3 number, since 3×3859303003 (a number of 27 digits) contains 333 as substring.

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, 334725 + ... + 335875.

It is an arithmetic number, because the mean of its divisors is an integer number (13332480).

Almost surely, 2385930300 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 385930300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

385930300 is an abundant number, since it is smaller than the sum of its proper divisors (574008260).

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

385930300 is a wasteful number, since it uses less digits than its factorization.

385930300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 385930300 is about 19645.1088060107. The cubic root of 385930300 is about 728.0641145280.

Adding to 385930300 its reverse (3039583), we get a palindrome (388969883).

The spelling of 385930300 in words is "three hundred eighty-five million, nine hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 479 700 958 1151 1916 2302 2395 3353 4604 4790 5755 6706 8057 9580 11510 11975 13412 16114 16765 23020 23950 28775 32228 33530 40285 47900 57550 67060 80570 83825 115100 161140 167650 201425 335300 402850 551329 805700 1102658 2205316 2756645 3859303 5513290 7718606 11026580 13783225 15437212 19296515 27566450 38593030 55132900 77186060 96482575 192965150 385930300