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2000034120 = 233574158073
BaseRepresentation
bin111011100110110…
…0001100101001000
312011101102021000210
41313031201211020
513044002042440
6530243401120
7100364003160
oct16715414510
95141367023
102000034120
11936a70267
124799831a0
1325b489a56
1414d8a75a0
15ba8bca80
hex77361948

2000034120 has 128 divisors (see below), whose sum is σ = 7024631040. Its totient is φ = 445992960.

The previous prime is 2000034119. The next prime is 2000034137. The reversal of 2000034120 is 214300002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2000034096 and 2000034105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5404 + ... + 63476.

It is an arithmetic number, because the mean of its divisors is an integer number (54879930).

Almost surely, 22000034120 is an apocalyptic number.

2000034120 is a gapful number since it is divisible by the number (20) 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 2000034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512315520).

2000034120 is an abundant number, since it is smaller than the sum of its proper divisors (5024596920).

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

2000034120 is a wasteful number, since it uses less digits than its factorization.

2000034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58135 (or 58131 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2000034120 is about 44721.7410215658. The cubic root of 2000034120 is about 1259.9282146052.

Adding to 2000034120 its reverse (214300002), we get a palindrome (2214334122).

The spelling of 2000034120 in words is "two billion, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 34440 58073 116146 174219 232292 290365 348438 406511 464584 580730 696876 813022 871095 1161460 1219533 1393752 1626044 1742190 2032555 2322920 2380993 2439066 3252088 3484380 4065110 4761986 4878132 6097665 6968760 7142979 8130220 9523972 9756264 11904965 12195330 14285958 16260440 16666951 19047944 23809930 24390660 28571916 33333902 35714895 47619860 48781320 50000853 57143832 66667804 71429790 83334755 95239720 100001706 133335608 142859580 166669510 200003412 250004265 285719160 333339020 400006824 500008530 666678040 1000017060 2000034120