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1341724320 = 2532517232383
BaseRepresentation
bin100111111111001…
…0001011010100000
310110111200122202100
41033332101122200
510221440134240
6341045450400
745151316466
oct11776213240
93414618670
101341724320
11629406382
12315410a00
13184c86621
14ca2a2836
157cbd2e30
hex4ff916a0

1341724320 has 288 divisors, whose sum is σ = 5060869632. Its totient is φ = 321970176.

The previous prime is 1341724291. The next prime is 1341724331. The reversal of 1341724320 is 234271431.

It is a happy number.

1341724320 is a `hidden beast` number, since 1 + 3 + 417 + 243 + 2 + 0 = 666.

1341724320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561849 + ... + 564231.

It is an arithmetic number, because the mean of its divisors is an integer number (17572464).

Almost surely, 21341724320 is an apocalyptic number.

1341724320 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 1341724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530434816).

1341724320 is an abundant number, since it is smaller than the sum of its proper divisors (3719145312).

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

1341724320 is a wasteful number, since it uses less digits than its factorization.

1341724320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1341724320 is about 36629.5552798556. Note that the first 3 decimals coincide. The cubic root of 1341724320 is about 1102.9464586991.

Adding to 1341724320 its reverse (234271431), we get a palindrome (1575995751).

The spelling of 1341724320 in words is "one billion, three hundred forty-one million, seven hundred twenty-four thousand, three hundred twenty".