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144340032 = 2634431697
BaseRepresentation
bin10001001101001…
…11010001000000
3101001121020022010
420212213101000
5243422340112
622153412520
73401604264
oct1046472100
9331536263
10144340032
1174526891
124040a140
1323b99905
14152540a4
15ca1263c
hex89a7440

144340032 has 56 divisors (see below), whose sum is σ = 382987296. Its totient is φ = 47976448.

The previous prime is 144340003. The next prime is 144340033. The reversal of 144340032 is 230043441.

It is a super-2 number, since 2×1443400322 = 41668089675522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144339990 and 144340008.

It is not an unprimeable number, because it can be changed into a prime (144340033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84208 + ... + 85904.

Almost surely, 2144340032 is an apocalyptic number.

144340032 is a gapful number since it is divisible by the number (12) 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 144340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191493648).

144340032 is an abundant number, since it is smaller than the sum of its proper divisors (238647264).

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

144340032 is a wasteful number, since it uses less digits than its factorization.

144340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 144340032 is about 12014.1596460177. The cubic root of 144340032 is about 524.5605174684.

Adding to 144340032 its reverse (230043441), we get a palindrome (374383473).

The spelling of 144340032 in words is "one hundred forty-four million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 443 886 1329 1697 1772 2658 3394 3544 5091 5316 6788 7088 10182 10632 13576 14176 20364 21264 27152 28352 40728 42528 54304 81456 85056 108608 162912 325824 751771 1503542 2255313 3007084 4510626 6014168 9021252 12028336 18042504 24056672 36085008 48113344 72170016 144340032