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145344240 = 2433567289
BaseRepresentation
bin10001010100111…
…00011011110000
3101010111020211000
420222130123300
5244202003430
622231122000
73413256066
oct1052343360
9333436730
10145344240
1175052308
1240813300
132415ba12
1415436036
15cb5ee60
hex8a9c6f0

145344240 has 80 divisors (see below), whose sum is σ = 500637600. Its totient is φ = 38757888.

The previous prime is 145344223. The next prime is 145344253. The reversal of 145344240 is 42443541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1453442402 = 42249896202355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 31485 + ... + 35804.

It is an arithmetic number, because the mean of its divisors is an integer number (6257970).

Almost surely, 2145344240 is an apocalyptic number.

145344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145344240 is an abundant number, since it is smaller than the sum of its proper divisors (355293360).

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

145344240 is a wasteful number, since it uses less digits than its factorization.

145344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67311 (or 67299 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 145344240 is about 12055.8798932305. The cubic root of 145344240 is about 525.7742046768.

Adding to 145344240 its reverse (42443541), we get a palindrome (187787781).

The spelling of 145344240 in words is "one hundred forty-five million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 67289 134578 201867 269156 336445 403734 538312 605601 672890 807468 1009335 1076624 1211202 1345780 1614936 1816803 2018670 2422404 2691560 3028005 3229872 3633606 4037340 4844808 5383120 6056010 7267212 8074680 9084015 9689616 12112020 14534424 16149360 18168030 24224040 29068848 36336060 48448080 72672120 145344240