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3221679041 = 75376111411
BaseRepresentation
bin1100000000000110…
…1110101111000001
322022112011020210222
43000001232233001
523044222212131
61251403432425
7142556551160
oct30001565701
98275136728
103221679041
111403610169
1275ab25715
133c45bc279
14227c2d3d7
1513cc8187b
hexc006ebc1

3221679041 has 16 divisors (see below), whose sum is σ = 3756647808. Its totient is φ = 2705539200.

The previous prime is 3221679037. The next prime is 3221679079. The reversal of 3221679041 is 1409761223.

It is not a de Polignac number, because 3221679041 - 22 = 3221679037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3221678992 and 3221679010.

It is not an unprimeable number, because it can be changed into a prime (3221679541) 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 15 ways as a sum of consecutive naturals, for example, 276626 + ... + 288036.

It is an arithmetic number, because the mean of its divisors is an integer number (234790488).

Almost surely, 23221679041 is an apocalyptic number.

It is an amenable number.

3221679041 is a deficient number, since it is larger than the sum of its proper divisors (534968767).

3221679041 is a wasteful number, since it uses less digits than its factorization.

3221679041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12232.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3221679041 is about 56759.8365131543. The cubic root of 3221679041 is about 1476.9328739972.

The spelling of 3221679041 in words is "three billion, two hundred twenty-one million, six hundred seventy-nine thousand, forty-one".

Divisors: 1 7 53 371 761 5327 11411 40333 79877 282331 604783 4233481 8683771 60786397 460239863 3221679041