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144536340 = 223513185303
BaseRepresentation
bin10001001110101…
…11001100010100
3101001222012120210
420213113030110
5244000130330
622201525420
73403352514
oct1047271424
9331865523
10144536340
1174650323
12404a3870
1323c38080
14152a5844
15ca508b0
hex89d7314

144536340 has 48 divisors (see below), whose sum is σ = 435835008. Its totient is φ = 35577984.

The previous prime is 144536323. The next prime is 144536351. The reversal of 144536340 is 43635441.

144536340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144536298 and 144536307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91872 + ... + 93431.

It is an arithmetic number, because the mean of its divisors is an integer number (9079896).

Almost surely, 2144536340 is an apocalyptic number.

144536340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144536340 is an abundant number, since it is smaller than the sum of its proper divisors (291298668).

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

144536340 is a wasteful number, since it uses less digits than its factorization.

144536340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185328 (or 185326 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 144536340 is about 12022.3267298805. The cubic root of 144536340 is about 524.7982172397.

It can be divided in two parts, 14 and 4536340, that added together give a palindrome (4536354).

The spelling of 144536340 in words is "one hundred forty-four million, five hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 185303 370606 555909 741212 926515 1111818 1853030 2223636 2408939 2779545 3706060 4817878 5559090 7226817 9635756 11118180 12044695 14453634 24089390 28907268 36134085 48178780 72268170 144536340