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3085840395 = 345113132213
BaseRepresentation
bin1011011111101110…
…0011000000001011
321222001112221020000
42313323203000023
522304433343040
61230112134043
7136320132141
oct26773430013
97861487200
103085840395
111343970620
12721537323
133a240b081
14213b8d591
15130d9d130
hexb7ee300b

3085840395 has 80 divisors (see below), whose sum is σ = 6056547552. Its totient is φ = 1490711040.

The previous prime is 3085840363. The next prime is 3085840399. The reversal of 3085840395 is 5930485803.

It is a happy number.

3085840395 is a `hidden beast` number, since 30 + 8 + 584 + 0 + 39 + 5 = 666.

It is not a de Polignac number, because 3085840395 - 25 = 3085840363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3085840395.

It is not an unprimeable number, because it can be changed into a prime (3085840399) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1393309 + ... + 1395521.

Almost surely, 23085840395 is an apocalyptic number.

3085840395 is a deficient number, since it is larger than the sum of its proper divisors (2970707157).

3085840395 is a wasteful number, since it uses less digits than its factorization.

3085840395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3085840395 is about 55550.3410880617. The cubic root of 3085840395 is about 1455.8763346632.

It can be divided in two parts, 30858 and 40395, that added together give a triangular number (71253 = T377).

The spelling of 3085840395 in words is "three billion, eighty-five million, eight hundred forty thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 313 405 495 891 939 1485 1565 2213 2817 3443 4455 4695 6639 8451 10329 11065 14085 17215 19917 24343 25353 30987 33195 42255 51645 59751 73029 92961 99585 121715 126765 154935 179253 219087 278883 298755 365145 464805 657261 692669 896265 1095435 1394415 1971783 2078007 3286305 3463345 6234021 7619359 9858915 10390035 18702063 22858077 31170105 38096795 56106189 68574231 93510315 114290385 205722693 280530945 342871155 617168079 1028613465 3085840395