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144378340 = 22519219997
BaseRepresentation
bin10001001101100…
…00100111100100
3101001200011211221
420212300213210
5243430101330
622154310124
73402124051
oct1046604744
9331604757
10144378340
1174552647
1240428344
1323bb1192
1415264028
15ca1db7a
hex89b09e4

144378340 has 36 divisors (see below), whose sum is σ = 320007996. Its totient is φ = 54709056.

The previous prime is 144378323. The next prime is 144378341. The reversal of 144378340 is 43873441.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 52678564 = 9576^2 + 7258^2 .

It is a super-2 number, since 2×1443783402 = 41690210122311200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144378296 and 144378305.

It is not an unprimeable number, because it can be changed into a prime (144378341) 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, 2779 + ... + 17218.

It is an arithmetic number, because the mean of its divisors is an integer number (8889111).

Almost surely, 2144378340 is an apocalyptic number.

144378340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144378340 is an abundant number, since it is smaller than the sum of its proper divisors (175629656).

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

144378340 is a wasteful number, since it uses less digits than its factorization.

144378340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20044 (or 20023 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 144378340 is about 12015.7538257073. The cubic root of 144378340 is about 524.6069196724.

The spelling of 144378340 in words is "one hundred forty-four million, three hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 19997 39994 79988 99985 199970 379943 399940 759886 1519772 1899715 3799430 7218917 7598860 14437834 28875668 36094585 72189170 144378340