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144904368 = 2437261609
BaseRepresentation
bin10001010001100…
…01000010110000
3101002122220102110
420220301002300
5244043414433
622213445320
73406444500
oct1050610260
9332586373
10144904368
1174881884
1240640840
132403673b
141535da00
15cac4963
hex8a310b0

144904368 has 60 divisors (see below), whose sum is σ = 435459480. Its totient is φ = 41400576.

The previous prime is 144904363. The next prime is 144904369. The reversal of 144904368 is 863409441.

It is a happy number.

144904368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144904363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28453 + ... + 33156.

It is an arithmetic number, because the mean of its divisors is an integer number (7257658).

Almost surely, 2144904368 is an apocalyptic number.

It is an amenable number.

144904368 is an abundant number, since it is smaller than the sum of its proper divisors (290555112).

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

144904368 is a wasteful number, since it uses less digits than its factorization.

144904368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61634 (or 61621 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 144904368 is about 12037.6230211782. The cubic root of 144904368 is about 525.2432650406.

The spelling of 144904368 in words is "one hundred forty-four million, nine hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 61609 123218 184827 246436 369654 431263 492872 739308 862526 985744 1293789 1478616 1725052 2587578 2957232 3018841 3450104 5175156 6037682 6900208 9056523 10350312 12075364 18113046 20700624 24150728 36226092 48301456 72452184 144904368