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144342400 = 2752431049
BaseRepresentation
bin10001001101001…
…11110110000000
3101001121100112211
420212213312000
5243422424100
622153431504
73401614216
oct1046476600
9331540484
10144342400
1174528644
124040b594
1323b9aa07
1415254cb6
15ca131ba
hex89a7d80

144342400 has 96 divisors (see below), whose sum is σ = 365211000. Its totient is φ = 56340480.

The previous prime is 144342383. The next prime is 144342403. The reversal of 144342400 is 4243441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144342403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137076 + ... + 138124.

Almost surely, 2144342400 is an apocalyptic number.

144342400 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 144342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182605500).

144342400 is an abundant number, since it is smaller than the sum of its proper divisors (220868600).

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

144342400 is a wasteful number, since it uses less digits than its factorization.

144342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144342400 is about 12014.2581959936. The cubic root of 144342400 is about 524.5633860478.

Adding to 144342400 its reverse (4243441), we get a palindrome (148585841).

The spelling of 144342400 in words is "one hundred forty-four million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 128 160 172 200 215 320 344 400 430 640 688 800 860 1049 1075 1376 1600 1720 2098 2150 2752 3200 3440 4196 4300 5245 5504 6880 8392 8600 10490 13760 16784 17200 20980 26225 27520 33568 34400 41960 45107 52450 67136 68800 83920 90214 104900 134272 137600 167840 180428 209800 225535 335680 360856 419600 451070 671360 721712 839200 902140 1127675 1443424 1678400 1804280 2255350 2886848 3356800 3608560 4510700 5773696 7217120 9021400 14434240 18042800 28868480 36085600 72171200 144342400