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144322032 = 24397139223
BaseRepresentation
bin10001001101000…
…10110111110000
3101001120022121110
420212202313300
5243421301112
622153153320
73401500641
oct1046426760
9331508543
10144322032
1174514308
12403bb840
1323b9166a
141524b6c8
15ca0c13c
hex89a2df0

144322032 has 80 divisors (see below), whose sum is σ = 381086720. Its totient is φ = 47056896.

The previous prime is 144322001. The next prime is 144322037. The reversal of 144322032 is 230223441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144322037) by changing a digit.

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, 647073 + ... + 647295.

It is an arithmetic number, because the mean of its divisors is an integer number (4763584).

Almost surely, 2144322032 is an apocalyptic number.

144322032 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 144322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190543360).

144322032 is an abundant number, since it is smaller than the sum of its proper divisors (236764688).

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

144322032 is a wasteful number, since it uses less digits than its factorization.

144322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 144322032 is about 12013.4105065964. The cubic root of 144322032 is about 524.5387113630.

Adding to 144322032 its reverse (230223441), we get a palindrome (374545473).

The spelling of 144322032 in words is "one hundred forty-four million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 139 194 223 278 291 388 417 446 556 582 669 776 834 892 1112 1164 1338 1552 1668 1784 2224 2328 2676 3336 3568 4656 5352 6672 10704 13483 21631 26966 30997 40449 43262 53932 61994 64893 80898 86524 92991 107864 123988 129786 161796 173048 185982 215728 247976 259572 323592 346096 371964 495952 519144 647184 743928 1038288 1487856 3006709 6013418 9020127 12026836 18040254 24053672 36080508 48107344 72161016 144322032