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3223410320 = 2451329106877
BaseRepresentation
bin1100000000100001…
…0101011010010000
322022122102012200102
43000020111122100
523100143112240
61251504511532
7142610351504
oct30010253220
98278365612
103223410320
111404592979
1275b61b5a8
133c4a772b0
14228160304
1513cec4815
hexc0215690

3223410320 has 80 divisors (see below), whose sum is σ = 8349309360. Its totient is φ = 1149130752.

The previous prime is 3223410299. The next prime is 3223410329. The reversal of 3223410320 is 230143223.

It can be written as a sum of positive squares in 8 ways, for example, as 65869456 + 3157540864 = 8116^2 + 56192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 = 3223410292 and 3223410301.

It is not an unprimeable number, because it can be changed into a prime (3223410329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23279 + ... + 83598.

It is an arithmetic number, because the mean of its divisors is an integer number (104366367).

Almost surely, 23223410320 is an apocalyptic number.

It is an amenable number.

3223410320 is an abundant number, since it is smaller than the sum of its proper divisors (5125899040).

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

3223410320 is a wasteful number, since it uses less digits than its factorization.

3223410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106932 (or 106926 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3223410320 is about 56775.0853808253. The cubic root of 3223410320 is about 1477.1973866882.

Adding to 3223410320 its reverse (230143223), we get a palindrome (3453553543).

The spelling of 3223410320 in words is "three billion, two hundred twenty-three million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 106877 213754 427508 534385 855016 1068770 1389401 1710032 2137540 2778802 3099433 4275080 5557604 6198866 6947005 8550160 11115208 12397732 13894010 15497165 22230416 24795464 27788020 30994330 40292629 49590928 55576040 61988660 80585258 111152080 123977320 161170516 201463145 247954640 322341032 402926290 644682064 805852580 1611705160 3223410320