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3220330320 = 243259474723
BaseRepresentation
bin1011111111110010…
…0101011101010000
322022102121201201100
42333330211131100
523043401032240
61251314504400
7142542233064
oct27774453520
98272551640
103220330320
111402879919
1275a595100
133c42393cc
1422799baa4
1513cab6e30
hexbff25750

3220330320 has 120 divisors (see below), whose sum is σ = 10828655136. Its totient is φ = 857666304.

The previous prime is 3220330231. The next prime is 3220330331. The reversal of 3220330320 is 230330223.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×32203303202 = 20741054739822604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3220330293 and 3220330302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679479 + ... + 684201.

Almost surely, 23220330320 is an apocalyptic number.

3220330320 is a gapful number since it is divisible by the number (30) 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 3220330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414327568).

3220330320 is an abundant number, since it is smaller than the sum of its proper divisors (7608324816).

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

3220330320 is a wasteful number, since it uses less digits than its factorization.

3220330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3220330320 is about 56747.9543243631. The cubic root of 3220330320 is about 1476.7267445851.

Adding to 3220330320 its reverse (230330223), we get a palindrome (3450660543).

The spelling of 3220330320 in words is "three billion, two hundred twenty million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 947 1894 2841 3788 4723 4735 5682 7576 8523 9446 9470 11364 14169 14205 15152 17046 18892 18940 22728 23615 28338 28410 34092 37784 37880 42507 42615 45456 47230 56676 56820 68184 70845 75568 75760 85014 85230 94460 113352 113640 136368 141690 170028 170460 188920 212535 226704 227280 283380 340056 340920 377840 425070 566760 680112 681840 850140 1133520 1700280 3400560 4472681 8945362 13418043 17890724 22363405 26836086 35781448 40254129 44726810 53672172 67090215 71562896 80508258 89453620 107344344 134180430 161016516 178907240 201270645 214688688 268360860 322033032 357814480 402541290 536721720 644066064 805082580 1073443440 1610165160 3220330320