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144373320 = 233357132113
BaseRepresentation
bin10001001101011…
…11011001001000
3101001122220222000
420212233121020
5243424421240
622154231000
73402103320
oct1046573110
9331586860
10144373320
11745498a3
1240425460
1323babb00
1415262280
15ca1c430
hex89af648

144373320 has 384 divisors, whose sum is σ = 600825600. Its totient is φ = 30191616.

The previous prime is 144373303. The next prime is 144373351. The reversal of 144373320 is 23373441.

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 95 ways as a sum of consecutive naturals, for example, 1277584 + ... + 1277696.

It is an arithmetic number, because the mean of its divisors is an integer number (1564650).

Almost surely, 2144373320 is an apocalyptic number.

144373320 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 144373320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300412800).

144373320 is an abundant number, since it is smaller than the sum of its proper divisors (456452280).

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

144373320 is a wasteful number, since it uses less digits than its factorization.

144373320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 144373320 is about 12015.5449314627. The cubic root of 144373320 is about 524.6008394500.

The spelling of 144373320 in words is "one hundred forty-four million, three hundred seventy-three thousand, three hundred twenty".