Search a number
-
+
1341984 = 25371997
BaseRepresentation
bin101000111101000100000
32112011212010
411013220200
5320420414
644432520
714256330
oct5075040
92464763
101341984
11837286
12548740
1337ca97
1426d0c0
151b7959
hex147a20

1341984 has 48 divisors (see below), whose sum is σ = 4027968. Its totient is φ = 383232.

The previous prime is 1341983. The next prime is 1342001. The reversal of 1341984 is 4891431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1341983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 1670.

It is an arithmetic number, because the mean of its divisors is an integer number (83916).

21341984 is an apocalyptic number.

1341984 is a gapful number since it is divisible by the number (14) 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 1341984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013984).

1341984 is an abundant number, since it is smaller than the sum of its proper divisors (2685984).

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

1341984 is a wasteful number, since it uses less digits than its factorization.

1341984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2009 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1341984 is about 1158.4403307896. The cubic root of 1341984 is about 110.3017609595.

The spelling of 1341984 in words is "one million, three hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1997 3994 5991 7988 11982 13979 15976 23964 27958 31952 41937 47928 55916 63904 83874 95856 111832 167748 191712 223664 335496 447328 670992 1341984