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38964330 = 23253711701
BaseRepresentation
bin1001010010100…
…0110001101010
32201022121000100
42110220301222
534433324310
63511050230
7652122426
oct224506152
981277010
1038964330
111aaa3529
1211070976
1380c3322
145263b86
153649ec0
hex2528c6a

38964330 has 48 divisors (see below), whose sum is σ = 104054184. Its totient is φ = 10108800.

The previous prime is 38964329. The next prime is 38964337. The reversal of 38964330 is 3346983.

38964330 is a `hidden beast` number, since 3 + 8 + 9 + 643 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38675961 + 288369 = 6219^2 + 537^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38964337) 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 23 ways as a sum of consecutive naturals, for example, 2521 + ... + 9180.

Almost surely, 238964330 is an apocalyptic number.

38964330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38964330 is an abundant number, since it is smaller than the sum of its proper divisors (65089854).

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

38964330 is a wasteful number, since it uses less digits than its factorization.

38964330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11751 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 38964330 is about 6242.1414594673. The cubic root of 38964330 is about 339.0177242932.

The spelling of 38964330 in words is "thirty-eight million, nine hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 11701 23402 35103 58505 70206 105309 117010 175515 210618 351030 432937 526545 865874 1053090 1298811 2164685 2597622 3896433 4329370 6494055 7792866 12988110 19482165 38964330