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387030 = 23571997
BaseRepresentation
bin1011110011111010110
3201122220110
41132133112
544341110
612143450
73201240
oct1363726
9648813
10387030
11244866
12167b86
13107217
14a1090
1579a20
hex5e7d6

387030 has 64 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 82944.

The previous prime is 387017. The next prime is 387031. The reversal of 387030 is 30783.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 386988 and 387006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387031) by changing a digit.

387030 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3942 + ... + 4038.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2387030 is an apocalyptic number.

387030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 387030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

387030 is an abundant number, since it is smaller than the sum of its proper divisors (741930).

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

387030 is a wasteful number, since it uses less digits than its factorization.

387030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 387030 is about 622.1173522737. The cubic root of 387030 is about 72.8754993017.

The spelling of 387030 in words is "three hundred eighty-seven thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 97 105 114 133 190 194 210 266 285 291 399 485 570 582 665 679 798 970 1330 1358 1455 1843 1995 2037 2910 3395 3686 3990 4074 5529 6790 9215 10185 11058 12901 18430 20370 25802 27645 38703 55290 64505 77406 129010 193515 387030