Search a number
-
+
385327820376 = 233217209310987
BaseRepresentation
bin1011001101101110101…
…00111110111001011000
31100211121011021102022200
411212313110332321120
522303122410223001
6453003412250200
736560532301062
oct5466724767130
91324534242280
10385327820376
11139464566714
1262819610960
132a44a9b0c55
1414915714732
15a05378b086
hex59b753ee58

385327820376 has 48 divisors (see below), whose sum is σ = 1043660178600. Its totient is φ = 128434730112.

The previous prime is 385327820363. The next prime is 385327820407. The reversal of 385327820376 is 673028723583.

385327820376 is a `hidden beast` number, since 3 + 8 + 532 + 78 + 2 + 0 + 37 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1083555 + ... + 1394541.

Almost surely, 2385327820376 is an apocalyptic number.

385327820376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385327820376 is an abundant number, since it is smaller than the sum of its proper divisors (658332358224).

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

385327820376 is a wasteful number, since it uses less digits than its factorization.

385327820376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328208 (or 328201 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 385327820376 in words is "three hundred eighty-five billion, three hundred twenty-seven million, eight hundred twenty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17209 34418 51627 68836 103254 137672 154881 206508 309762 310987 413016 619524 621974 932961 1239048 1243948 1865922 2487896 2798883 3731844 5597766 7463688 11195532 22391064 5351775283 10703550566 16055325849 21407101132 32110651698 42814202264 48165977547 64221303396 96331955094 128442606792 192663910188 385327820376