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1348722144 = 253371121997
BaseRepresentation
bin101000001100011…
…1101110111100000
310110222212011222000
41100120331313200
510230233102034
6341455444000
745264643350
oct12030756740
93428764860
101348722144
11632355a00
12317826600
13186566853
14cb1a4b60
157d616599
hex5063dde0

1348722144 has 576 divisors, whose sum is σ = 5255308800. Its totient is φ = 328458240.

The previous prime is 1348722107. The next prime is 1348722157. The reversal of 1348722144 is 4412278431.

1348722144 is a `hidden beast` number, since 13 + 487 + 22 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 1348722099 and 1348722108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13904304 + ... + 13904400.

It is an arithmetic number, because the mean of its divisors is an integer number (9123800).

Almost surely, 21348722144 is an apocalyptic number.

1348722144 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 1348722144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627654400).

1348722144 is an abundant number, since it is smaller than the sum of its proper divisors (3906586656).

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

1348722144 is a wasteful number, since it uses less digits than its factorization.

1348722144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 1348722144 is about 36724.9526071852. The cubic root of 1348722144 is about 1104.8606238219.

It can be divided in two parts, 134 and 8722144, that added together give a palindrome (8722278).

The spelling of 1348722144 in words is "one billion, three hundred forty-eight million, seven hundred twenty-two thousand, one hundred forty-four".