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144341600 = 25521313879
BaseRepresentation
bin10001001101001…
…11101001100000
3101001121022110012
420212213221200
5243422412400
622153424052
73401611664
oct1046475140
9331538405
10144341600
1174527a87
124040b028
1323b9a540
14152548a4
15ca12d35
hex89a7a60

144341600 has 72 divisors (see below), whose sum is σ = 379506960. Its totient is φ = 53291520.

The previous prime is 144341599. The next prime is 144341633. The reversal of 144341600 is 6143441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3461 + ... + 17339.

It is an arithmetic number, because the mean of its divisors is an integer number (5270930).

Almost surely, 2144341600 is an apocalyptic number.

144341600 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 144341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189753480).

144341600 is an abundant number, since it is smaller than the sum of its proper divisors (235165360).

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

144341600 is a wasteful number, since it uses less digits than its factorization.

144341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13912 (or 13899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 144341600 is about 12014.2249021733. The cubic root of 144341600 is about 524.5624169366.

The spelling of 144341600 in words is "one hundred forty-four million, three hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 13879 27758 55516 69395 111032 138790 180427 222064 277580 346975 360854 444128 555160 693950 721708 902135 1110320 1387900 1443416 1804270 2220640 2775800 2886832 3608540 4510675 5551600 5773664 7217080 9021350 11103200 14434160 18042700 28868320 36085400 72170800 144341600