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3401020200 = 233526478761
BaseRepresentation
bin1100101010110111…
…0111001100101000
322210000121201122010
43022231313030220
523431130121300
61321251355520
7150165123534
oct31255671450
98700551563
103401020200
1114958728a6
127aabb2ba0
134227c22b6
14243994bc4
1514d8a9a50
hexcab77328

3401020200 has 96 divisors (see below), whose sum is σ = 10560663360. Its totient is φ = 905433600.

The previous prime is 3401020171. The next prime is 3401020219. The reversal of 3401020200 is 20201043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383820 + ... + 392580.

It is an arithmetic number, because the mean of its divisors is an integer number (110006910).

Almost surely, 23401020200 is an apocalyptic number.

3401020200 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 3401020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280331680).

3401020200 is an abundant number, since it is smaller than the sum of its proper divisors (7159643160).

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

3401020200 is a wasteful number, since it uses less digits than its factorization.

3401020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9427 (or 9418 counting only the distinct ones).

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

The square root of 3401020200 is about 58318.2664351402. The cubic root of 3401020200 is about 1503.8449801085.

Adding to 3401020200 its reverse (20201043), we get a palindrome (3421221243).

The spelling of 3401020200 in words is "three billion, four hundred one million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 647 1294 1941 2588 3235 3882 5176 6470 7764 8761 9705 12940 15528 16175 17522 19410 25880 26283 32350 35044 38820 43805 48525 52566 64700 70088 77640 87610 97050 105132 129400 131415 175220 194100 210264 219025 262830 350440 388200 438050 525660 657075 876100 1051320 1314150 1752200 2628300 5256600 5668367 11336734 17005101 22673468 28341835 34010202 45346936 56683670 68020404 85025505 113367340 136040808 141709175 170051010 226734680 283418350 340102020 425127525 566836700 680204040 850255050 1133673400 1700510100 3401020200