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350128485 = 32571923079
BaseRepresentation
bin10100110111101…
…000100101100101
3220101211100222200
4110313220211211
51204113102420
654424245113
711451020520
oct2467504545
9811740880
10350128485
1116a702793
1299310799
13576cc825
1434701bb7
1520b11b90
hex14de8965

350128485 has 72 divisors (see below), whose sum is σ = 732251520. Its totient is φ = 151585344.

The previous prime is 350128483. The next prime is 350128487. The reversal of 350128485 is 584821053.

It is a happy number.

350128485 is a `hidden beast` number, since 3 + 50 + 128 + 485 = 666.

It is an interprime number because it is at equal distance from previous prime (350128483) and next prime (350128487).

It is not a de Polignac number, because 350128485 - 21 = 350128483 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350128483) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112176 + ... + 115254.

It is an arithmetic number, because the mean of its divisors is an integer number (10170160).

Almost surely, 2350128485 is an apocalyptic number.

350128485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

350128485 is an abundant number, since it is smaller than the sum of its proper divisors (382123035).

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

350128485 is a wasteful number, since it uses less digits than its factorization.

350128485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 350128485 is about 18711.7205248475. The cubic root of 350128485 is about 704.8160981018.

The spelling of 350128485 in words is "three hundred fifty million, one hundred twenty-eight thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 361 399 665 855 1083 1197 1805 1995 2527 3079 3249 5415 5985 7581 9237 12635 15395 16245 21553 22743 27711 37905 46185 58501 64659 107765 113715 138555 175503 193977 292505 323295 409507 526509 877515 969885 1111519 1228521 2047535 2632545 3334557 3685563 5557595 6142605 7780633 10003671 16672785 18427815 23341899 38903165 50018355 70025697 116709495 350128485