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3306541472 = 251325131667
BaseRepresentation
bin1100010100010101…
…1101000110100000
322112102211201011222
43011011131012200
523232433311342
61304034354212
7144640065413
oct30505350640
98472751158
103306541472
111447502603
1278342b968
13409062920
142351ddb7a
15145445ed2
hexc515d1a0

3306541472 has 48 divisors (see below), whose sum is σ = 7038656352. Its totient is φ = 1519968000.

The previous prime is 3306541453. The next prime is 3306541489. The reversal of 3306541472 is 2741456033.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 88583 + ... + 120249.

It is an arithmetic number, because the mean of its divisors is an integer number (146638674).

Almost surely, 23306541472 is an apocalyptic number.

3306541472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306541472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519328176).

3306541472 is an abundant number, since it is smaller than the sum of its proper divisors (3732114880).

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

3306541472 is a wasteful number, since it uses less digits than its factorization.

3306541472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31941 (or 31933 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3306541472 is about 57502.5344832730. The cubic root of 3306541472 is about 1489.7886389981.

The spelling of 3306541472 in words is "three billion, three hundred six million, five hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 251 416 502 1004 2008 3263 4016 6526 8032 13052 26104 31667 52208 63334 104416 126668 253336 411671 506672 823342 1013344 1646684 3293368 6586736 7948417 13173472 15896834 31793668 63587336 103329421 127174672 206658842 254349344 413317684 826635368 1653270736 3306541472