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1344530016 = 25342931577
BaseRepresentation
bin101000000100011…
…1110011001100000
310110200222012110000
41100020332121200
510223144430031
6341225540000
745214213404
oct12010763140
93420865400
101344530016
1162aa52335
12316344600
131857296bb
14ca7d3104
157d0893e6
hex5023e660

1344530016 has 240 divisors, whose sum is σ = 4229850240. Its totient is φ = 418037760.

The previous prime is 1344529981. The next prime is 1344530027. The reversal of 1344530016 is 6100354431.

1344530016 is a `hidden beast` number, since 1 + 344 + 5 + 300 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2329920 + ... + 2330496.

It is an arithmetic number, because the mean of its divisors is an integer number (17624376).

Almost surely, 21344530016 is an apocalyptic number.

1344530016 is a gapful number since it is divisible by the number (16) 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 1344530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114925120).

1344530016 is an abundant number, since it is smaller than the sum of its proper divisors (2885320224).

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

1344530016 is a wasteful number, since it uses less digits than its factorization.

1344530016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1344530016 is about 36667.8335329482. The cubic root of 1344530016 is about 1103.7147183480.

Adding to 1344530016 its reverse (6100354431), we get a palindrome (7444884447).

The spelling of 1344530016 in words is "one billion, three hundred forty-four million, five hundred thirty thousand, sixteen".