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3221412320 = 25572876261
BaseRepresentation
bin1100000000000010…
…1101100111100000
322022111122200221102
43000000231213200
523044140143240
61251354013532
7142554360440
oct30000554740
98274580842
103221412320
111403448835
1275aa172a8
133c4527a49
14227ba0120
1513cc2c815
hexc002d9e0

3221412320 has 48 divisors (see below), whose sum is σ = 8697816288. Its totient is φ = 1104483840.

The previous prime is 3221412317. The next prime is 3221412367. The reversal of 3221412320 is 232141223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3221412292 and 3221412301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437011 + ... + 1439250.

It is an arithmetic number, because the mean of its divisors is an integer number (181204506).

Almost surely, 23221412320 is an apocalyptic number.

It is an amenable number.

3221412320 is an abundant number, since it is smaller than the sum of its proper divisors (5476403968).

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

3221412320 is a wasteful number, since it uses less digits than its factorization.

3221412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876283 (or 2876275 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3221412320 is about 56757.4869070152. The cubic root of 3221412320 is about 1476.8921147244.

Adding to 3221412320 its reverse (232141223), we get a palindrome (3453553543).

The spelling of 3221412320 in words is "three billion, two hundred twenty-one million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2876261 5752522 11505044 14381305 20133827 23010088 28762610 40267654 46020176 57525220 80535308 92040352 100669135 115050440 161070616 201338270 230100880 322141232 402676540 460201760 644282464 805353080 1610706160 3221412320