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390705984 = 2633226103
BaseRepresentation
bin10111010010011…
…011001101000000
31000020011220212000
4113102123031000
51300010042414
6102434104000
712452642334
oct2722331500
91006156760
10390705984
111905a8209
12aaa1b000
1362c39196
1439c657c4
1524479b09
hex1749b340

390705984 has 56 divisors (see below), whose sum is σ = 1148608320. Its totient is φ = 130234752.

The previous prime is 390705941. The next prime is 390706003. The reversal of 390705984 is 489507093.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111324 + ... + 114779.

Almost surely, 2390705984 is an apocalyptic number.

It is an amenable number.

390705984 is an abundant number, since it is smaller than the sum of its proper divisors (757902336).

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

390705984 is a wasteful number, since it uses less digits than its factorization.

390705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226124 (or 226108 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 390705984 is about 19766.2840210293. The cubic root of 390705984 is about 731.0549481084.

It can be divided in two parts, 39070 and 5984, that added together give a palindrome (45054).

The spelling of 390705984 in words is "three hundred ninety million, seven hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 226103 452206 678309 904412 1356618 1808824 2034927 2713236 3617648 4069854 5426472 6104781 7235296 8139708 10852944 12209562 14470592 16279416 21705888 24419124 32558832 43411776 48838248 65117664 97676496 130235328 195352992 390705984