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144034200 = 23345217523
BaseRepresentation
bin10001001010111…
…00100110011000
3101001000200210000
420211130212120
5243333043300
622143053000
73366161532
oct1045344630
9331020700
10144034200
1174338032
12402a1160
1323ac064b
14151b4852
15c9a1c00
hex895c998

144034200 has 240 divisors, whose sum is σ = 530691480. Its totient is φ = 36080640.

The previous prime is 144034199. The next prime is 144034201. The reversal of 144034200 is 2430441.

It is an interprime number because it is at equal distance from previous prime (144034199) and next prime (144034201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275139 + ... + 275661.

Almost surely, 2144034200 is an apocalyptic number.

144034200 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 144034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265345740).

144034200 is an abundant number, since it is smaller than the sum of its proper divisors (386657280).

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

144034200 is a wasteful number, since it uses less digits than its factorization.

144034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144034200 is about 12001.4249154007. The cubic root of 144034200 is about 524.1897706293.

Adding to 144034200 its reverse (2430441), we get a palindrome (146464641).

The spelling of 144034200 in words is "one hundred forty-four million, thirty-four thousand, two hundred".