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1378468 = 227213541
BaseRepresentation
bin101010000100010100100
32121000220101
411100202210
5323102333
645313444
714500600
oct5204244
92530811
101378468
11861733
12565884
13393580
1427c500
151c367d
hex1508a4

1378468 has 36 divisors (see below), whose sum is σ = 3027612. Its totient is φ = 544320.

The previous prime is 1378441. The next prime is 1378499. The reversal of 1378468 is 8648731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 1016064 = 602^2 + 1008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2278 + ... + 2818.

21378468 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 1378468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513806).

1378468 is an abundant number, since it is smaller than the sum of its proper divisors (1649144).

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

1378468 is a wasteful number, since it uses less digits than its factorization.

1378468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 1378468 is about 1174.0817688730. The cubic root of 1378468 is about 111.2924140763.

The spelling of 1378468 in words is "one million, three hundred seventy-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 541 637 1082 1274 2164 2548 3787 7033 7574 14066 15148 26509 28132 49231 53018 98462 106036 196924 344617 689234 1378468