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144434320 = 2454494021
BaseRepresentation
bin10001001101111…
…10010010010000
3101001210000122021
420212332102100
5243433344240
622155421224
73402446212
oct1046762220
9331700567
10144434320
1174590708
1240454814
1323c007c4
141527a5b2
15ca3054a
hex89be490

144434320 has 40 divisors (see below), whose sum is σ = 336641400. Its totient is φ = 57630720.

The previous prime is 144434317. The next prime is 144434341. The reversal of 144434320 is 23434441.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 142754704 = 1296^2 + 11948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1444343202 = 41722545587724800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33910 + ... + 37930.

It is an arithmetic number, because the mean of its divisors is an integer number (8416035).

Almost surely, 2144434320 is an apocalyptic number.

144434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144434320 is an abundant number, since it is smaller than the sum of its proper divisors (192207080).

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

144434320 is a wasteful number, since it uses less digits than its factorization.

144434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 144434320 is about 12018.0830418166. The cubic root of 144434320 is about 524.6747130838.

Adding to 144434320 its reverse (23434441), we get a palindrome (167868761).

The spelling of 144434320 in words is "one hundred forty-four million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 449 898 1796 2245 3592 4021 4490 7184 8042 8980 16084 17960 20105 32168 35920 40210 64336 80420 160840 321680 1805429 3610858 7221716 9027145 14443432 18054290 28886864 36108580 72217160 144434320