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144330340 = 2257111737149
BaseRepresentation
bin10001001101001…
…00111001100100
3101001120202000011
420212210321210
5243422032330
622153300004
73401534110
oct1046447144
9331522004
10144330340
117451a580
1240404604
1323b9538b
1415250740
15ca0e82a
hex89a4e64

144330340 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 40919040.

The previous prime is 144330337. The next prime is 144330349. The reversal of 144330340 is 43033441.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (144330349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 968586 + ... + 968734.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2144330340 is an apocalyptic number.

144330340 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 144330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

144330340 is an abundant number, since it is smaller than the sum of its proper divisors (269352860).

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

144330340 is a wasteful number, since it uses less digits than its factorization.

144330340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 144330340 is about 12013.7562818629. The cubic root of 144330340 is about 524.5487763174.

Adding to 144330340 its reverse (43033441), we get a palindrome (187363781).

The spelling of 144330340 in words is "one hundred forty-four million, three hundred thirty thousand, three hundred forty".