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1344372120 = 2333571313679
BaseRepresentation
bin101000000100001…
…0111110110011000
310110200200011212000
41100020113312120
510223124401440
6341222321000
745212655150
oct12010276630
93420604760
101344372120
1162a954743
12316289160
131856a2880
14ca791760
157d057730
hex50217d98

1344372120 has 256 divisors, whose sum is σ = 5515776000. Its totient is φ = 283627008.

The previous prime is 1344372119. The next prime is 1344372131. The reversal of 1344372120 is 212734431.

It is a happy number.

1344372120 is a `hidden beast` number, since 1 + 3 + 443 + 7 + 212 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91441 + ... + 105119.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 21344372120 is an apocalyptic number.

1344372120 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 1344372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

1344372120 is an abundant number, since it is smaller than the sum of its proper divisors (4171403880).

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

1344372120 is a wasteful number, since it uses less digits than its factorization.

1344372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13719 (or 13709 counting only the distinct ones).

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

The square root of 1344372120 is about 36665.6804109783. The cubic root of 1344372120 is about 1103.6715114381.

The spelling of 1344372120 in words is "one billion, three hundred forty-four million, three hundred seventy-two thousand, one hundred twenty".