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144335628 = 223319312269
BaseRepresentation
bin10001001101001…
…10001100001100
3101001121000021000
420212212030030
5243422220003
622153340300
73401555403
oct1046461414
9331530230
10144335628
1174523548
1240407690
1323b978c8
141525263a
15ca111a3
hex89a630c

144335628 has 96 divisors (see below), whose sum is σ = 406784000. Its totient is φ = 44089920.

The previous prime is 144335573. The next prime is 144335641. The reversal of 144335628 is 826533441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144335592 and 144335601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62478 + ... + 64746.

Almost surely, 2144335628 is an apocalyptic number.

144335628 is a gapful number since it is divisible by the number (18) 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 144335628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203392000).

144335628 is an abundant number, since it is smaller than the sum of its proper divisors (262448372).

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

144335628 is a wasteful number, since it uses less digits than its factorization.

144335628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 144335628 is about 12013.9763608890. The cubic root of 144335628 is about 524.5551824088. Note that the first 3 decimals are identical.

The spelling of 144335628 in words is "one hundred forty-four million, three hundred thirty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 837 1026 1116 1178 1674 1767 2052 2269 2356 3348 3534 4538 5301 6807 7068 9076 10602 13614 15903 20421 21204 27228 31806 40842 43111 61263 63612 70339 81684 86222 122526 129333 140678 172444 211017 245052 258666 281356 387999 422034 517332 633051 775998 844068 1163997 1266102 1336441 1551996 1899153 2327994 2532204 2672882 3798306 4009323 4655988 5345764 7596612 8018646 12027969 16037292 24055938 36083907 48111876 72167814 144335628