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144339192 = 23332113167
BaseRepresentation
bin10001001101001…
…11000011111000
3101001121012011000
420212213003320
5243422323232
622153405000
73401601654
oct1046470370
9331535130
10144339192
1174526198
1240409760
1323b9940a
1415253a64
15ca1227c
hex89a70f8

144339192 has 64 divisors (see below), whose sum is σ = 402969600. Its totient is φ = 47869920.

The previous prime is 144339187. The next prime is 144339287. The reversal of 144339192 is 291933441.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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, 43993 + ... + 47159.

It is an arithmetic number, because the mean of its divisors is an integer number (6296400).

Almost surely, 2144339192 is an apocalyptic number.

144339192 is a gapful number since it is divisible by the number (12) 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 144339192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201484800).

144339192 is an abundant number, since it is smaller than the sum of its proper divisors (258630408).

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

144339192 is a wasteful number, since it uses less digits than its factorization.

144339192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3383 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 144339192 is about 12014.1246872171. The cubic root of 144339192 is about 524.5594998905.

The spelling of 144339192 in words is "one hundred forty-four million, three hundred thirty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 422 633 844 1266 1688 1899 2532 3167 3798 5064 5697 6334 7596 9501 11394 12668 15192 19002 22788 25336 28503 38004 45576 57006 76008 85509 114012 171018 228024 342036 668237 684072 1336474 2004711 2672948 4009422 5345896 6014133 8018844 12028266 16037688 18042399 24056532 36084798 48113064 72169596 144339192