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387468 = 223247229
BaseRepresentation
bin1011110100110001100
3201200111200
41132212030
544344333
612145500
73202434
oct1364614
9650450
10387468
11245124
12168290
13107493
14a12c4
1579c13
hex5e98c

387468 has 36 divisors (see below), whose sum is σ = 1004640. Its totient is φ = 125856.

The previous prime is 387463. The next prime is 387493. The reversal of 387468 is 864783.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (387463) by changing a digit.

387468 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 11 ways as a sum of consecutive naturals, for example, 1578 + ... + 1806.

2387468 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 387468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502320).

387468 is an abundant number, since it is smaller than the sum of its proper divisors (617172).

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

387468 is a wasteful number, since it uses less digits than its factorization.

387468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 387468 is about 622.4692763502. The cubic root of 387468 is about 72.9029798891.

The spelling of 387468 in words is "three hundred eighty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 229 282 423 458 564 687 846 916 1374 1692 2061 2748 4122 8244 10763 21526 32289 43052 64578 96867 129156 193734 387468