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3221400340 = 2253141353359
BaseRepresentation
bin1100000000000010…
…1010101100010100
322022111122002111201
43000000222230110
523044134302330
61251353442244
7142554310504
oct30000525424
98274562451
103221400340
11140343a834
1275aa10384
133c4522462
14227b99a04
1513cc28eca
hexc002ab14

3221400340 has 96 divisors (see below), whose sum is σ = 7193733120. Its totient is φ = 1209753600.

The previous prime is 3221400337. The next prime is 3221400349. The reversal of 3221400340 is 430041223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221400349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8973081 + ... + 8973439.

It is an arithmetic number, because the mean of its divisors is an integer number (74934720).

Almost surely, 23221400340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596866560).

3221400340 is an abundant number, since it is smaller than the sum of its proper divisors (3972332780).

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

3221400340 is a wasteful number, since it uses less digits than its factorization.

3221400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3221400340 is about 56757.3813701795. The cubic root of 3221400340 is about 1476.8902839343.

Adding to 3221400340 its reverse (430041223), we get a palindrome (3651441563).

The spelling of 3221400340 in words is "three billion, two hundred twenty-one million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 353 359 410 620 706 718 820 1271 1412 1436 1765 1795 2542 3530 3590 5084 6355 7060 7180 10943 11129 12710 14473 14719 21886 22258 25420 28946 29438 43772 44516 54715 55645 57892 58876 72365 73595 109430 111290 126727 144730 147190 218860 222580 253454 289460 294380 448663 456289 506908 633635 897326 912578 1267270 1794652 1825156 2243315 2281445 2534540 3928537 4486630 4562890 5195807 7857074 8973260 9125780 10391614 15714148 19642685 20783228 25979035 39285370 51958070 78570740 103916140 161070017 322140034 644280068 805350085 1610700170 3221400340