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1345344 = 263721113
BaseRepresentation
bin101001000011101000000
32112100110120
411020131000
5321022334
644500240
714302200
oct5103500
92470416
101345344
11839860
1254a680
13381480
14270400
151b8949
hex148740

1345344 has 168 divisors, whose sum is σ = 4864608. Its totient is φ = 322560.

The previous prime is 1345343. The next prime is 1345349. The reversal of 1345344 is 4435431.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an Ulam number.

Its product of digits (2880) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345343) 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 23 ways as a sum of consecutive naturals, for example, 103482 + ... + 103494.

It is an arithmetic number, because the mean of its divisors is an integer number (28956).

21345344 is an apocalyptic number.

1345344 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 1345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432304).

1345344 is an abundant number, since it is smaller than the sum of its proper divisors (3519264).

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

1345344 is a wasteful number, since it uses less digits than its factorization.

1345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 1345344 is about 1159.8896499236. The cubic root of 1345344 is about 110.3937404559.

The spelling of 1345344 in words is "one million, three hundred forty-five thousand, three hundred forty-four".