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144355320 = 233252811427
BaseRepresentation
bin10001001101010…
…10111111111000
3101001122000021100
420212222333320
5243423332240
622154011400
73401666664
oct1046527770
9331560240
10144355320
117453731a
1240416b60
1323ba3865
14152598a4
15ca16e30
hex89aaff8

144355320 has 96 divisors (see below), whose sum is σ = 471154320. Its totient is φ = 38330880.

The previous prime is 144355307. The next prime is 144355339. The reversal of 144355320 is 23553441.

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, 100447 + ... + 101873.

Almost surely, 2144355320 is an apocalyptic number.

144355320 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 144355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235577160).

144355320 is an abundant number, since it is smaller than the sum of its proper divisors (326799000).

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

144355320 is a wasteful number, since it uses less digits than its factorization.

144355320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 144355320 is about 12014.7958784159. The cubic root of 144355320 is about 524.5790366968.

The spelling of 144355320 in words is "one hundred forty-four million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 281 360 562 843 1124 1405 1427 1686 2248 2529 2810 2854 3372 4215 4281 5058 5620 5708 6744 7135 8430 8562 10116 11240 11416 12645 12843 14270 16860 17124 20232 21405 25290 25686 28540 33720 34248 42810 50580 51372 57080 64215 85620 101160 102744 128430 171240 256860 400987 513720 801974 1202961 1603948 2004935 2405922 3207896 3608883 4009870 4811844 6014805 7217766 8019740 9623688 12029610 14435532 16039480 18044415 24059220 28871064 36088830 48118440 72177660 144355320