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144674352 = 243217113523
BaseRepresentation
bin10001001111110…
…00111000110000
3101002020012220100
420213320320300
5244014034402
622204512400
73404466054
oct1047707060
9332205810
10144674352
1174734a89
124054b700
1323c85b34
14152ddc64
15ca7b71c
hex89f8e30

144674352 has 120 divisors (see below), whose sum is σ = 433324944. Its totient is φ = 44900352.

The previous prime is 144674351. The next prime is 144674377. The reversal of 144674352 is 253476441.

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

It is not an unprimeable number, because it can be changed into a prime (144674351) 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 23 ways as a sum of consecutive naturals, for example, 276363 + ... + 276885.

Almost surely, 2144674352 is an apocalyptic number.

144674352 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 144674352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216662472).

144674352 is an abundant number, since it is smaller than the sum of its proper divisors (288650592).

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

144674352 is a wasteful number, since it uses less digits than its factorization.

144674352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 144674352 is about 12028.0651810672. The cubic root of 144674352 is about 524.9652004145.

The spelling of 144674352 in words is "one hundred forty-four million, six hundred seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 113 136 144 153 204 226 272 306 339 408 452 523 612 678 816 904 1017 1046 1224 1356 1569 1808 1921 2034 2092 2448 2712 3138 3842 4068 4184 4707 5424 5763 6276 7684 8136 8368 8891 9414 11526 12552 15368 16272 17289 17782 18828 23052 25104 26673 30736 34578 35564 37656 46104 53346 59099 69156 71128 75312 80019 92208 106692 118198 138312 142256 160038 177297 213384 236396 276624 320076 354594 426768 472792 531891 640152 709188 945584 1004683 1063782 1280304 1418376 2009366 2127564 2836752 3014049 4018732 4255128 6028098 8037464 8510256 9042147 12056196 16074928 18084294 24112392 36168588 48224784 72337176 144674352