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1342824 = 23377993
BaseRepresentation
bin101000111110101101000
32112020000020
411013311220
5320432244
644440440
714261640
oct5076550
92466006
101342824
1183797a
12549120
13380292
1426d520
151b7d19
hex147d68

1342824 has 32 divisors (see below), whose sum is σ = 3837120. Its totient is φ = 383616.

The previous prime is 1342801. The next prime is 1342829. The reversal of 1342824 is 4282431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1342794 and 1342803.

It is not an unprimeable number, because it can be changed into a prime (1342829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3829 + ... + 4164.

It is an arithmetic number, because the mean of its divisors is an integer number (119910).

21342824 is an apocalyptic number.

1342824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1342824 is an abundant number, since it is smaller than the sum of its proper divisors (2494296).

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

1342824 is a wasteful number, since it uses less digits than its factorization.

1342824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009 (or 8005 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1342824 is about 1158.8028305109. The cubic root of 1342824 is about 110.3247702139.

The spelling of 1342824 in words is "one million, three hundred forty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 7993 15986 23979 31972 47958 55951 63944 95916 111902 167853 191832 223804 335706 447608 671412 1342824