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385504614 = 232111726737
BaseRepresentation
bin10110111110100…
…101010101100110
3222212101122220200
4112332211111212
51242142121424
6102130411330
712360510105
oct2676452546
9885348820
10385504614
11188675360
12a9130b46
1361b37851
14392b003c
1523c9d8c9
hex16fa5566

385504614 has 72 divisors (see below), whose sum is σ = 968088888. Its totient is φ = 109931520.

The previous prime is 385504607. The next prime is 385504649. The reversal of 385504614 is 416405583.

It is a happy number.

385504614 is a `hidden beast` number, since 38 + 5 + 5 + 0 + 4 + 614 = 666.

It is a super-2 number, since 2×3855046142 = 297227614830577992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53854 + ... + 60590.

It is an arithmetic number, because the mean of its divisors is an integer number (13445679).

Almost surely, 2385504614 is an apocalyptic number.

385504614 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385504614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484044444).

385504614 is an abundant number, since it is smaller than the sum of its proper divisors (582584274).

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

385504614 is a wasteful number, since it uses less digits than its factorization.

385504614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 385504614 is about 19634.2714150538. The cubic root of 385504614 is about 727.7963280723.

The spelling of 385504614 in words is "three hundred eighty-five million, five hundred four thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 289 306 374 561 578 867 1122 1683 1734 2601 3179 3366 5202 6358 6737 9537 13474 19074 20211 28611 40422 57222 60633 74107 114529 121266 148214 222321 229058 343587 444642 666963 687174 1030761 1259819 1333926 1946993 2061522 2519638 3779457 3893986 5840979 7558914 11338371 11681958 17522937 21416923 22676742 35045874 42833846 64250769 128501538 192752307 385504614