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3106003320 = 233457136949
BaseRepresentation
bin1011100100100001…
…1101100101111000
322000110111022120000
42321020131211320
522330114101240
61232112233000
7136653410160
oct27110354570
98013438500
103106003320
1113542922a2
1272823b760
133a664a6b4
1421671b5a0
15132a32430
hexb921d978

3106003320 has 160 divisors (see below), whose sum is σ = 11931084000. Its totient is φ = 709938432.

The previous prime is 3106003301. The next prime is 3106003331. The reversal of 3106003320 is 233006013.

It is a happy number.

3106003320 is a `hidden beast` number, since 3 + 10 + 600 + 33 + 20 = 666.

3106003320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31060033203 (a number of 29 digits) contains 333 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 = 3106003293 and 3106003302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45795 + ... + 91154.

It is an arithmetic number, because the mean of its divisors is an integer number (74569275).

Almost surely, 23106003320 is an apocalyptic number.

3106003320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3106003320 is an abundant number, since it is smaller than the sum of its proper divisors (8825080680).

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

3106003320 is a wasteful number, since it uses less digits than its factorization.

3106003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136979 (or 136966 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3106003320 is about 55731.5289580324. The cubic root of 3106003320 is about 1459.0403589313.

Adding to 3106003320 its reverse (233006013), we get a palindrome (3339009333).

The spelling of 3106003320 in words is "three billion, one hundred six million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 136949 273898 410847 547796 684745 821694 958643 1095592 1232541 1369490 1643388 1917286 2054235 2465082 2738980 2875929 3286776 3697623 3834572 4108470 4793215 4930164 5477960 5751858 6162705 7395246 7669144 8216940 8627787 9586430 9860328 11092869 11503716 12325410 14379645 14790492 16433880 17255574 18488115 19172860 22185738 23007432 24650820 25883361 28759290 29580984 34511148 36976230 38345720 43138935 44371476 49301640 51766722 55464345 57518580 69022296 73952460 77650083 86277870 88742952 103533444 110928690 115037160 129416805 147904920 155300166 172555740 207066888 221857380 258833610 310600332 345111480 388250415 443714760 517667220 621200664 776500830 1035334440 1553001660 3106003320