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654490368 = 28377167
BaseRepresentation
bin100111000000101…
…011101100000000
31200121112120000000
4213000223230000
52320022142433
6144540000000
722135035120
oct4700535400
91617476000
10654490368
11306496334
12163230000
13a5796b0c
1462cccc80
153c6d3113
hex2702bb00

654490368 has 288 divisors, whose sum is σ = 2252651520. Its totient is φ = 185877504.

The previous prime is 654490367. The next prime is 654490393. The reversal of 654490368 is 863094456.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6544903683 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (654490367) 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 31 ways as a sum of consecutive naturals, for example, 3919021 + ... + 3919187.

Almost surely, 2654490368 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 654490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126325760).

654490368 is an abundant number, since it is smaller than the sum of its proper divisors (1598161152).

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

654490368 is an frugal number, since it uses more digits than its factorization.

654490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 654490368 is about 25583.0093616838. The cubic root of 654490368 is about 868.2292640516.

The spelling of 654490368 in words is "six hundred fifty-four million, four hundred ninety thousand, three hundred sixty-eight".