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144313320 = 23353732503
BaseRepresentation
bin10001001101000…
…00101111101000
3101001112212122210
420212200233220
5243421011240
622153045120
73401433354
oct1046405750
9331485583
10144313320
1174508808
12403b67a0
1323b8a6c8
1415248464
15ca09780
hex89a0be8

144313320 has 64 divisors (see below), whose sum is σ = 444654720. Its totient is φ = 37442304.

The previous prime is 144313319. The next prime is 144313321. The reversal of 144313320 is 23313441.

It is an interprime number because it is at equal distance from previous prime (144313319) and next prime (144313321).

It is not an unprimeable number, because it can be changed into a prime (144313321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11812 + ... + 20691.

It is an arithmetic number, because the mean of its divisors is an integer number (6947730).

Almost surely, 2144313320 is an apocalyptic number.

144313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144313320 is an abundant number, since it is smaller than the sum of its proper divisors (300341400).

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

144313320 is a wasteful number, since it uses less digits than its factorization.

144313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32554 (or 32550 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 144313320 is about 12013.0479063392. The cubic root of 144313320 is about 524.5281565569.

Adding to 144313320 its reverse (23313441), we get a palindrome (167626761).

The spelling of 144313320 in words is "one hundred forty-four million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 32503 65006 97509 130012 162515 195018 260024 325030 390036 487545 650060 780072 975090 1202611 1300120 1950180 2405222 3607833 3900360 4810444 6013055 7215666 9620888 12026110 14431332 18039165 24052220 28862664 36078330 48104440 72156660 144313320