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144302808 = 233131134093
BaseRepresentation
bin10001001100111…
…10001011011000
3101001112100020110
420212132023120
5243420142213
622152524320
73401360616
oct1046361330
9331470213
10144302808
1174500921
12403b06a0
1323b859a0
14152446b6
15ca065c3
hex899e2d8

144302808 has 64 divisors (see below), whose sum is σ = 392041440. Its totient is φ = 43997184.

The previous prime is 144302779. The next prime is 144302813. The reversal of 144302808 is 808203441.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 33210 + ... + 37302.

Almost surely, 2144302808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144302808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020720).

144302808 is an abundant number, since it is smaller than the sum of its proper divisors (247738632).

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

144302808 is a wasteful number, since it uses less digits than its factorization.

144302808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 144302808 is about 12012.6103741027. The cubic root of 144302808 is about 524.5154204402.

The spelling of 144302808 in words is "one hundred forty-four million, three hundred two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 904 1356 1469 2712 2938 4093 4407 5876 8186 8814 11752 12279 16372 17628 24558 32744 35256 49116 53209 98232 106418 159627 212836 319254 425672 462509 638508 925018 1277016 1387527 1850036 2775054 3700072 5550108 6012617 11100216 12025234 18037851 24050468 36075702 48100936 72151404 144302808