Search a number
-
+
3321323120 = 2451961113317
BaseRepresentation
bin1100010111110111…
…0101111001110000
322120110122200210102
43011331311321300
523300224314440
61305323251532
7145206531533
oct30575657160
98513580712
103321323120
111454889245
12788379ba8
1340c139a6b
1423716aa1a
151468b5b15
hexc5f75e70

3321323120 has 160 divisors (see below), whose sum is σ = 8361161280. Its totient is φ = 1223147520.

The previous prime is 3321323081. The next prime is 3321323141. The reversal of 3321323120 is 213231233.

It is a super-2 number, since 2×33213231202 = 22062374534893068800, which contains 22 as substring.

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 = 3321323092 and 3321323101.

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 31 ways as a sum of consecutive naturals, for example, 10477202 + ... + 10477518.

It is an arithmetic number, because the mean of its divisors is an integer number (52257258).

Almost surely, 23321323120 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 3321323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180580640).

3321323120 is an abundant number, since it is smaller than the sum of its proper divisors (5039838160).

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

3321323120 is a wasteful number, since it uses less digits than its factorization.

3321323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3321323120 is about 57630.9215612591. The cubic root of 3321323120 is about 1492.0053355568.

Adding to 3321323120 its reverse (213231233), we get a palindrome (3534554353).

It can be divided in two parts, 3 and 321323120, that added together give a palindrome (321323123).

The spelling of 3321323120 in words is "three billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 61 76 80 95 113 122 152 190 226 244 304 305 317 380 452 488 565 610 634 760 904 976 1130 1159 1220 1268 1520 1585 1808 2147 2260 2318 2440 2536 3170 4294 4520 4636 4880 5072 5795 6023 6340 6893 8588 9040 9272 10735 11590 12046 12680 13786 17176 18544 19337 21470 23180 24092 25360 27572 30115 34352 34465 35821 38674 42940 46360 48184 55144 60230 68930 71642 77348 85880 92720 96368 96685 110288 120460 130967 137860 143284 154696 171760 179105 193370 240920 261934 275720 286568 309392 358210 367403 386740 481840 523868 551440 573136 654835 680599 716420 734806 773480 1047736 1309670 1361198 1432840 1469612 1546960 1837015 2095472 2185081 2619340 2722396 2865680 2939224 3402995 3674030 4370162 5238680 5444792 5878448 6805990 7348060 8740324 10477360 10889584 10925405 13611980 14696120 17480648 21850810 27223960 29392240 34961296 41516539 43701620 54447920 83033078 87403240 166066156 174806480 207582695 332132312 415165390 664264624 830330780 1660661560 3321323120