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3813683000 = 235312730029
BaseRepresentation
bin1110001101010000…
…0010111100111000
3100211210010011120112
43203110002330320
530302300324000
61430232243452
7163335525221
oct34324027470
910753104515
103813683000
1116877a7536
128a5240588
1348a14847a
142826d4248
15174c20235
hexe3502f38

3813683000 has 64 divisors (see below), whose sum is σ = 8994585600. Its totient is φ = 1513411200.

The previous prime is 3813682963. The next prime is 3813683011. The reversal of 3813683000 is 3863183.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111986 + ... + 142014.

It is an arithmetic number, because the mean of its divisors is an integer number (140540400).

Almost surely, 23813683000 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 3813683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497292800).

3813683000 is an abundant number, since it is smaller than the sum of its proper divisors (5180902600).

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

3813683000 is a wasteful number, since it uses less digits than its factorization.

3813683000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30177 (or 30163 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3813683000 is about 61755.0240871138. The cubic root of 3813683000 is about 1562.3615066582.

The spelling of 3813683000 in words is "three billion, eight hundred thirteen million, six hundred eighty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 2540 3175 5080 6350 12700 15875 25400 30029 31750 60058 63500 120116 127000 150145 240232 300290 600580 750725 1201160 1501450 3002900 3753625 3813683 6005800 7507250 7627366 15014500 15254732 19068415 30029000 30509464 38136830 76273660 95342075 152547320 190684150 381368300 476710375 762736600 953420750 1906841500 3813683000