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3348441360 = 24325111273329
BaseRepresentation
bin1100011110010101…
…0010100100010000
322122100200110000200
43013211102210100
523324200110420
61312132415200
7145656165465
oct30745224420
98570613020
103348441360
111469120610
12795477500
13414943164
1423a9c966c
15148e70b90
hexc7952910

3348441360 has 240 divisors, whose sum is σ = 12367779840. Its totient is φ = 805109760.

The previous prime is 3348441353. The next prime is 3348441377. The reversal of 3348441360 is 631448433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33484413602 = 22424119082717299200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004176 + ... + 1007504.

It is an arithmetic number, because the mean of its divisors is an integer number (51532416).

Almost surely, 23348441360 is an apocalyptic number.

3348441360 is a gapful number since it is divisible by the number (30) 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 3348441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183889920).

3348441360 is an abundant number, since it is smaller than the sum of its proper divisors (9019338480).

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

3348441360 is a wasteful number, since it uses less digits than its factorization.

3348441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3348441360 is about 57865.7183486043. The cubic root of 3348441360 is about 1496.0550205202.

Adding to 3348441360 its reverse (631448433), we get a palindrome (3979889793).

The spelling of 3348441360 in words is "three billion, three hundred forty-eight million, four hundred forty-one thousand, three hundred sixty".