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3129300 = 2233521961
BaseRepresentation
bin1011111011111111010100
312212222121000
423323333110
51300114200
6151023300
735412216
oct13737724
95788530
103129300
1118480a9
12106ab30
13857475
145b65b6
1541c300
hex2fbfd4

3129300 has 144 divisors (see below), whose sum is σ = 10763200. Its totient is φ = 777600.

The previous prime is 3129289. The next prime is 3129323. The reversal of 3129300 is 39213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51270 + ... + 51330.

Almost surely, 23129300 is an apocalyptic number.

3129300 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 3129300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381600).

3129300 is an abundant number, since it is smaller than the sum of its proper divisors (7633900).

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

3129300 is a wasteful number, since it uses less digits than its factorization.

3129300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3129300 is about 1768.9827585367. The cubic root of 3129300 is about 146.2679136506.

The spelling of 3129300 in words is "three million, one hundred twenty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 61 75 76 90 95 100 108 114 122 135 150 171 180 183 190 225 228 244 270 285 300 305 342 366 380 450 475 513 540 549 570 610 675 684 732 855 900 915 950 1026 1098 1140 1159 1220 1350 1425 1525 1647 1710 1830 1900 2052 2196 2318 2565 2700 2745 2850 3050 3294 3420 3477 3660 4275 4575 4636 5130 5490 5700 5795 6100 6588 6954 8235 8550 9150 10260 10431 10980 11590 12825 13725 13908 16470 17100 17385 18300 20862 23180 25650 27450 28975 31293 32940 34770 41175 41724 51300 52155 54900 57950 62586 69540 82350 86925 104310 115900 125172 156465 164700 173850 208620 260775 312930 347700 521550 625860 782325 1043100 1564650 3129300