Search a number
-
+
144176340 = 223571122837
BaseRepresentation
bin10001001011111…
…11010011010100
3101001021220202110
420211333103110
5243402120330
622150111020
73400323120
oct1045772324
9331256673
10144176340
1174424900
124034b470
1323b40259
1415210580
15c9cddb0
hex897f4d4

144176340 has 144 divisors (see below), whose sum is σ = 507298176. Its totient is φ = 29948160.

The previous prime is 144176321. The next prime is 144176393. The reversal of 144176340 is 43671441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144176298 and 144176307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49402 + ... + 52238.

It is an arithmetic number, because the mean of its divisors is an integer number (3522904).

Almost surely, 2144176340 is an apocalyptic number.

144176340 is a gapful number since it is divisible by the number (10) 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 144176340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253649088).

144176340 is an abundant number, since it is smaller than the sum of its proper divisors (363121836).

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

144176340 is a wasteful number, since it uses less digits than its factorization.

144176340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 144176340 is about 12007.3452519697. The cubic root of 144176340 is about 524.3621459816.

The spelling of 144176340 in words is "one hundred forty-four million, one hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2420 2541 2837 3388 3630 4235 4620 5082 5674 7260 8470 8511 10164 11348 12705 14185 16940 17022 19859 25410 28370 31207 34044 39718 42555 50820 56740 59577 62414 79436 85110 93621 99295 119154 124828 156035 170220 187242 198590 218449 238308 297885 312070 343277 374484 397180 436898 468105 595770 624140 655347 686554 873796 936210 1029831 1092245 1191540 1310694 1373108 1716385 1872420 2059662 2184490 2402939 2621388 3276735 3432770 4119324 4368980 4805878 5149155 6553470 6865540 7208817 9611756 10298310 12014695 13106940 14417634 20596620 24029390 28835268 36044085 48058780 72088170 144176340