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144170328 = 23319617173
BaseRepresentation
bin10001001011111…
…01110101011000
3101001021121111210
420211331311120
5243401422303
622150023120
73400266441
oct1045756530
9331247453
10144170328
1174420335
1240347aa0
1323b3a5b3
141520c2c8
15c9cc203
hex897dd58

144170328 has 128 divisors (see below), whose sum is σ = 396403200. Its totient is φ = 43545600.

The previous prime is 144170321. The next prime is 144170393. The reversal of 144170328 is 823071441.

It is a junction number, because it is equal to n+sod(n) for n = 144170295 and 144170304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144170321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974900 + ... + 1974972.

It is an arithmetic number, because the mean of its divisors is an integer number (3096900).

Almost surely, 2144170328 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 144170328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198201600).

144170328 is an abundant number, since it is smaller than the sum of its proper divisors (252232872).

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

144170328 is a wasteful number, since it uses less digits than its factorization.

144170328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 144170328 is about 12007.0949025982. The cubic root of 144170328 is about 524.3548574324.

The spelling of 144170328 in words is "one hundred forty-four million, one hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 71 73 76 114 122 142 146 152 183 213 219 228 244 284 292 366 426 438 456 488 568 584 732 852 876 1159 1349 1387 1464 1704 1752 2318 2698 2774 3477 4047 4161 4331 4453 4636 5183 5396 5548 6954 8094 8322 8662 8906 9272 10366 10792 11096 12993 13359 13908 15549 16188 16644 17324 17812 20732 25986 26718 27816 31098 32376 33288 34648 35624 41464 51972 53436 62196 82289 84607 98477 103944 106872 124392 164578 169214 196954 246867 253821 295431 316163 329156 338428 393908 493734 507642 590862 632326 658312 676856 787816 948489 987468 1015284 1181724 1264652 1896978 1974936 2030568 2363448 2529304 3793956 6007097 7587912 12014194 18021291 24028388 36042582 48056776 72085164 144170328