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145003368 = 2333126287
BaseRepresentation
bin10001010010010…
…01001101101000
3101002211221020010
420221021031220
5244110101433
622215531520
73410336226
oct1051111550
9332757203
10145003368
117493a1a4
1240689ba0
132406c813
1415387b16
15cae3e63
hex8a49368

145003368 has 48 divisors (see below), whose sum is σ = 374639040. Its totient is φ = 46767840.

The previous prime is 145003367. The next prime is 145003379. The reversal of 145003368 is 863300541.

It is not an unprimeable number, because it can be changed into a prime (145003361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19921 + ... + 26207.

It is an arithmetic number, because the mean of its divisors is an integer number (7804980).

Almost surely, 2145003368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145003368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187319520).

145003368 is an abundant number, since it is smaller than the sum of its proper divisors (229635672).

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

145003368 is a wasteful number, since it uses less digits than its factorization.

145003368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 145003368 is about 12041.7344265683. The cubic root of 145003368 is about 525.3628548233.

The spelling of 145003368 in words is "one hundred forty-five million, three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2883 3844 5766 6287 7688 11532 12574 18861 23064 25148 37722 50296 75444 150888 194897 389794 584691 779588 1169382 1559176 2338764 4677528 6041807 12083614 18125421 24167228 36250842 48334456 72501684 145003368