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144794340 = 22325883911
BaseRepresentation
bin10001010000101…
…10001011100100
3101002110022111100
420220112023210
5244031404330
622211240100
73405505635
oct1050261344
9332408440
10144794340
1174807149
12405a9030
1323cc8632
141533188c
15caa2060
hex8a162e4

144794340 has 72 divisors (see below), whose sum is σ = 440189568. Its totient is φ = 38525760.

The previous prime is 144794339. The next prime is 144794359. The reversal of 144794340 is 43497441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144794295 and 144794304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158485 + ... + 159395.

It is an arithmetic number, because the mean of its divisors is an integer number (6113744).

Almost surely, 2144794340 is an apocalyptic number.

144794340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144794340 is an abundant number, since it is smaller than the sum of its proper divisors (295395228).

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

144794340 is a wasteful number, since it uses less digits than its factorization.

144794340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 144794340 is about 12033.0519819371. The cubic root of 144794340 is about 525.1102897543.

The spelling of 144794340 in words is "one hundred forty-four million, seven hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 883 911 1766 1822 2649 2733 3532 3644 4415 4555 5298 5466 7947 8199 8830 9110 10596 10932 13245 13665 15894 16398 17660 18220 26490 27330 31788 32796 39735 40995 52980 54660 79470 81990 158940 163980 804413 1608826 2413239 3217652 4022065 4826478 7239717 8044130 9652956 12066195 14479434 16088260 24132390 28958868 36198585 48264780 72397170 144794340