Search a number
-
+
1348000 = 2553337
BaseRepresentation
bin101001001000110100000
32112111002221
411021012200
5321114000
644520424
714313013
oct5110640
92474087
101348000
11840855
12550114
13382744
1427137a
151b961a
hex1491a0

1348000 has 48 divisors (see below), whose sum is σ = 3321864. Its totient is φ = 537600.

The previous prime is 1347989. The next prime is 1348001. The reversal of 1348000 is 8431.

It can be written as a sum of positive squares in 4 ways, for example, as 258064 + 1089936 = 508^2 + 1044^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1348001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3832 + ... + 4168.

21348000 is an apocalyptic number.

1348000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660932).

1348000 is an abundant number, since it is smaller than the sum of its proper divisors (1973864).

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

1348000 is an equidigital number, since it uses as much as digits as its factorization.

1348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1348000 is about 1161.0340218960. The cubic root of 1348000 is about 110.4663397404.

The spelling of 1348000 in words is "one million, three hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 337 400 500 674 800 1000 1348 1685 2000 2696 3370 4000 5392 6740 8425 10784 13480 16850 26960 33700 42125 53920 67400 84250 134800 168500 269600 337000 674000 1348000