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387390 = 23537349
BaseRepresentation
bin1011110100100111110
3201200101210
41132210332
544344030
612145250
73202263
oct1364476
9650353
10387390
11245063
12168226
13107433
14a126a
1579bb0
hex5e93e

387390 has 32 divisors (see below), whose sum is σ = 957600. Its totient is φ = 100224.

The previous prime is 387371. The next prime is 387397. The reversal of 387390 is 93783.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387397) by changing a digit.

387390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2387390 is an apocalyptic number.

387390 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 387390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

387390 is an abundant number, since it is smaller than the sum of its proper divisors (570210).

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

387390 is a wasteful number, since it uses less digits than its factorization.

387390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 387390 is about 622.4066195021. The cubic root of 387390 is about 72.8980876021.

It can be divided in two parts, 387 and 390, that added together give a palindrome (777).

The spelling of 387390 in words is "three hundred eighty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 349 370 555 698 1047 1110 1745 2094 3490 5235 10470 12913 25826 38739 64565 77478 129130 193695 387390