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387688 = 23722343
BaseRepresentation
bin1011110101001101000
3201200210211
41132221220
544401223
612150504
73203200
oct1365150
9650724
10387688
11245304
12168434
13107602
14a1400
1579d0d
hex5ea68

387688 has 48 divisors (see below), whose sum is σ = 902880. Its totient is φ = 155232.

The previous prime is 387683. The next prime is 387707. The reversal of 387688 is 886783.

387688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 387688.

It is not an unprimeable number, because it can be changed into a prime (387683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8995 + ... + 9037.

It is an arithmetic number, because the mean of its divisors is an integer number (18810).

2387688 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 387688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451440).

387688 is an abundant number, since it is smaller than the sum of its proper divisors (515192).

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

387688 is a wasteful number, since it uses less digits than its factorization.

387688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 387688 is about 622.6459668222. The cubic root of 387688 is about 72.9167751109.

It can be divided in two parts, 387 and 688, that multiplied together give a square (266256 = 5162).

The spelling of 387688 in words is "three hundred eighty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 43 46 49 56 86 92 98 161 172 184 196 301 322 344 392 602 644 989 1127 1204 1288 1978 2107 2254 2408 3956 4214 4508 6923 7912 8428 9016 13846 16856 27692 48461 55384 96922 193844 387688