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144067350 = 235272171153
BaseRepresentation
bin10001001011001…
…00101100010110
3101001002101020210
420211210230112
5243340123400
622143510250
73366360300
oct1045445426
9331071223
10144067350
117435aa29
12402b8386
1323b0276b
14151c2970
15c9ab950
hex8964b16

144067350 has 144 divisors (see below), whose sum is σ = 440449488. Its totient is φ = 30965760.

The previous prime is 144067349. The next prime is 144067351. The reversal of 144067350 is 53760441.

It is an interprime number because it is at equal distance from previous prime (144067349) and next prime (144067351).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144067351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124374 + ... + 125526.

It is an arithmetic number, because the mean of its divisors is an integer number (3058677).

Almost surely, 2144067350 is an apocalyptic number.

144067350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144067350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220224744).

144067350 is an abundant number, since it is smaller than the sum of its proper divisors (296382138).

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

144067350 is a wasteful number, since it uses less digits than its factorization.

144067350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 144067350 is about 12002.8059219501. The cubic root of 144067350 is about 524.2299822779.

It can be divided in two parts, 14406 and 7350, that multiplied together give a square (105884100 = 102902).

The spelling of 144067350 in words is "one hundred forty-four million, sixty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 49 50 51 70 75 85 98 102 105 119 147 150 170 175 210 238 245 255 294 350 357 425 490 510 525 595 714 735 833 850 1050 1153 1190 1225 1275 1470 1666 1785 2306 2450 2499 2550 2975 3459 3570 3675 4165 4998 5765 5950 6918 7350 8071 8330 8925 11530 12495 16142 17295 17850 19601 20825 24213 24990 28825 34590 39202 40355 41650 48426 56497 57650 58803 62475 80710 86475 98005 112994 117606 121065 124950 137207 169491 172950 196010 201775 242130 274414 282485 294015 338982 403550 411621 490025 564970 588030 605325 686035 823242 847455 960449 980050 1210650 1372070 1412425 1470075 1694910 1920898 2058105 2824850 2881347 2940150 3430175 4116210 4237275 4802245 5762694 6860350 8474550 9604490 10290525 14406735 20581050 24011225 28813470 48022450 72033675 144067350