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144034000 = 2453116547
BaseRepresentation
bin10001001010111…
…00100011010000
3101001000200111121
420211130203100
5243333042000
622143052024
73366161125
oct1045344320
9331020447
10144034000
1174337970
12402a1014
1323ac0526
14151b474c
15c9a1b1a
hex895c8d0

144034000 has 80 divisors (see below), whose sum is σ = 379993536. Its totient is φ = 52368000.

The previous prime is 144033983. The next prime is 144034001. The reversal of 144034000 is 430441.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18727 + ... + 25273.

Almost surely, 2144034000 is an apocalyptic number.

144034000 is a gapful number since it is divisible by the number (10) 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 144034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189996768).

144034000 is an abundant number, since it is smaller than the sum of its proper divisors (235959536).

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

144034000 is a wasteful number, since it uses less digits than its factorization.

144034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 144034000 is about 12001.4165830539. The cubic root of 144034000 is about 524.1895280063.

Adding to 144034000 its reverse (430441), we get a palindrome (144464441).

The spelling of 144034000 in words is "one hundred forty-four million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 6547 11000 13094 22000 26188 32735 52376 65470 72017 104752 130940 144034 163675 261880 288068 327350 360085 523760 576136 654700 720170 818375 1152272 1309400 1440340 1636750 1800425 2618800 2880680 3273500 3600850 5761360 6547000 7201700 9002125 13094000 14403400 18004250 28806800 36008500 72017000 144034000