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3309427872 = 253211491069
BaseRepresentation
bin1100010101000001…
…1101110010100000
322112122021100120200
43011100131302200
523234203142442
61304220305200
7145003446522
oct30520356240
98478240520
103309427872
1114490a4163
127843a2200
1340983365a
14235751a12
1514581634c
hexc541dca0

3309427872 has 36 divisors (see below), whose sum is σ = 9411186330. Its totient is φ = 1103142528.

The previous prime is 3309427867. The next prime is 3309427879. The reversal of 3309427872 is 2787249033.

3309427872 is a `hidden beast` number, since 3 + 309 + 4 + 278 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3286040976 + 23386896 = 57324^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3309427879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5745247 + ... + 5745822.

Almost surely, 23309427872 is an apocalyptic number.

3309427872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3309427872 is an abundant number, since it is smaller than the sum of its proper divisors (6101758458).

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

3309427872 is a wasteful number, since it uses less digits than its factorization.

3309427872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11491085 (or 11491074 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3309427872 is about 57527.6270325832. The cubic root of 3309427872 is about 1490.2220097699. Note that the first 3 decimals are identical.

The spelling of 3309427872 in words is "three billion, three hundred nine million, four hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11491069 22982138 34473207 45964276 68946414 91928552 103419621 137892828 183857104 206839242 275785656 367714208 413678484 551571312 827356968 1103142624 1654713936 3309427872