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3465780768 = 253234692
BaseRepresentation
bin1100111010010011…
…1001111000100000
322221112110220102200
43032210321320200
524044214441033
61331523413200
7151612436052
oct31644717040
98845426380
103465780768
11151938542a
12808824200
13433048068
1424c4118d2
151543ed013
hexce939e20

3465780768 has 54 divisors (see below), whose sum is σ = 9858655989. Its totient is φ = 1154927232.

The previous prime is 3465780767. The next prime is 3465780781. The reversal of 3465780768 is 8670875643.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3465780768 is a `hidden beast` number, since 3 + 4 + 6 + 578 + 0 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2305152144 + 1160628624 = 48012^2 + 34068^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=41628.

It is not an unprimeable number, because it can be changed into a prime (3465780767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 997338 + ... + 1000806.

Almost surely, 23465780768 is an apocalyptic number.

It is an amenable number.

3465780768 is an abundant number, since it is smaller than the sum of its proper divisors (6392875221).

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

3465780768 is an frugal number, since it uses more digits than its factorization.

3465780768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 3465780768 is about 58870.8821744672. The cubic root of 3465780768 is about 1513.3301891211.

The spelling of 3465780768 in words is "three billion, four hundred sixty-five million, seven hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3469 6938 10407 13876 20814 27752 31221 41628 55504 62442 83256 111008 124884 166512 249768 333024 499536 999072 12033961 24067922 36101883 48135844 72203766 96271688 108305649 144407532 192543376 216611298 288815064 385086752 433222596 577630128 866445192 1155260256 1732890384 3465780768