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385080464 = 24173374201
BaseRepresentation
bin10110111100111…
…101110010010000
3222211121010002102
4112330331302100
51242040033324
6102113335532
712354062366
oct2674756220
9884533072
10385080464
1118840571a
12a8b675a8
1361a19782
14391dd636
1523c17dae
hex16f3dc90

385080464 has 40 divisors (see below), whose sum is σ = 792514008. Its totient is φ = 180633600.

The previous prime is 385080427. The next prime is 385080529. The reversal of 385080464 is 464080583.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8410000 + 376670464 = 2900^2 + 19408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89564 + ... + 93764.

Almost surely, 2385080464 is an apocalyptic number.

385080464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385080464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396257004).

385080464 is an abundant number, since it is smaller than the sum of its proper divisors (407433544).

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

385080464 is a wasteful number, since it uses less digits than its factorization.

385080464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 385080464 is about 19623.4671758076. The cubic root of 385080464 is about 727.5293117306.

The spelling of 385080464 in words is "three hundred eighty-five million, eighty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 337 674 1348 2696 4201 5392 5729 8402 11458 16804 22916 33608 45832 67216 71417 91664 142834 285668 571336 1142672 1415737 2831474 5662948 11325896 22651792 24067529 48135058 96270116 192540232 385080464