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144342360 = 23325547733
BaseRepresentation
bin10001001101001…
…11110101011000
3101001121100111100
420212213311120
5243422423420
622153431400
73401614131
oct1046476530
9331540440
10144342360
1174528608
124040b560
1323b9a9a6
1415254c88
15ca13190
hex89a7d58

144342360 has 96 divisors (see below), whose sum is σ = 470611440. Its totient is φ = 38368512.

The previous prime is 144342353. The next prime is 144342383. The reversal of 144342360 is 63243441.

144342360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196554 + ... + 197286.

Almost surely, 2144342360 is an apocalyptic number.

144342360 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 144342360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235305720).

144342360 is an abundant number, since it is smaller than the sum of its proper divisors (326269080).

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

144342360 is a wasteful number, since it uses less digits than its factorization.

144342360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 144342360 is about 12014.2565313048. The cubic root of 144342360 is about 524.5633375923.

The spelling of 144342360 in words is "one hundred forty-four million, three hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 547 733 1094 1466 1641 2188 2199 2735 2932 3282 3665 4376 4398 4923 5470 5864 6564 6597 7330 8205 8796 9846 10940 10995 13128 13194 14660 16410 17592 19692 21880 21990 24615 26388 29320 32820 32985 39384 43980 49230 52776 65640 65970 87960 98460 131940 196920 263880 400951 801902 1202853 1603804 2004755 2405706 3207608 3608559 4009510 4811412 6014265 7217118 8019020 9622824 12028530 14434236 16038040 18042795 24057060 28868472 36085590 48114120 72171180 144342360