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3486222976 = 27235322343
BaseRepresentation
bin1100111111001011…
…1000101010000000
322222221221110212111
43033302320222000
524114433113401
61333533505104
7152251256245
oct31762705200
98887843774
103486222976
111529977a15
12813642194
13437354842
142510135cc
151560d9e51
hexcfcb8a80

3486222976 has 64 divisors (see below), whose sum is σ = 7384245120. Its totient is φ = 1635791872.

The previous prime is 3486222941. The next prime is 3486223007. The reversal of 3486222976 is 6792226843.

It is a tau number, because it is divible by the number of its divisors (64).

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, 144861 + ... + 167203.

It is an arithmetic number, because the mean of its divisors is an integer number (115378830).

Almost surely, 23486222976 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 3486222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692122560).

3486222976 is an abundant number, since it is smaller than the sum of its proper divisors (3898022144).

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

3486222976 is a wasteful number, since it uses less digits than its factorization.

3486222976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22433 (or 22421 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The square root of 3486222976 is about 59044.2459177861. The cubic root of 3486222976 is about 1516.2997158756.

The spelling of 3486222976 in words is "three billion, four hundred eighty-six million, two hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 368 424 736 848 1219 1472 1696 2438 2944 3392 4876 6784 9752 19504 22343 39008 44686 78016 89372 156032 178744 357488 513889 714976 1027778 1184179 1429952 2055556 2368358 2859904 4111112 4736716 8222224 9473432 16444448 18946864 27236117 32888896 37893728 54472234 65777792 75787456 108944468 151574912 217888936 435777872 871555744 1743111488 3486222976