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3085984 = 25112797
BaseRepresentation
bin1011110001011010100000
312210210011201
423301122200
51242222414
6150050544
735142016
oct13613240
95723151
103085984
111818600
121049a54
13840835
145a48b6
1540e574
hex2f16a0

3085984 has 36 divisors (see below), whose sum is σ = 6686442. Its totient is φ = 1400960.

The previous prime is 3085969. The next prime is 3086003. The reversal of 3085984 is 4895803.

It can be written as a sum of positive squares in only one way, i.e., 2650384 + 435600 = 1628^2 + 660^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3474 + ... + 4270.

Almost surely, 23085984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343221).

3085984 is an abundant number, since it is smaller than the sum of its proper divisors (3600458).

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

3085984 is a wasteful number, since it uses less digits than its factorization.

3085984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 3085984 is about 1756.6969004356. The cubic root of 3085984 is about 145.5898918233.

The spelling of 3085984 in words is "three million, eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 797 968 1594 1936 3188 3872 6376 8767 12752 17534 25504 35068 70136 96437 140272 192874 280544 385748 771496 1542992 3085984