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3421343000 = 23538341221
BaseRepresentation
bin1100101111101101…
…1000110100011000
322211102212020021102
43023323120310120
524001330434000
61323255130532
7150532635635
oct31373306430
98742766242
103421343000
1114a62936a9
127b5973a48
13426a8961a
1424656518c
151505713d5
hexcbed8d18

3421343000 has 64 divisors (see below), whose sum is σ = 8102596320. Its totient is φ = 1352016000.

The previous prime is 3421342999. The next prime is 3421343017. The reversal of 3421343000 is 3431243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 62390 + ... + 103610.

Almost surely, 23421343000 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 3421343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051298160).

3421343000 is an abundant number, since it is smaller than the sum of its proper divisors (4681253320).

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

3421343000 is a wasteful number, since it uses less digits than its factorization.

3421343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41325 (or 41311 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3421343000 is about 58492.2473495420. The cubic root of 3421343000 is about 1506.8344425986.

Adding to 3421343000 its reverse (3431243), we get a palindrome (3424774243).

The spelling of 3421343000 in words is "three billion, four hundred twenty-one million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3320 4150 8300 10375 16600 20750 41221 41500 82442 83000 164884 206105 329768 412210 824420 1030525 1648840 2061050 3421343 4122100 5152625 6842686 8244200 10305250 13685372 17106715 20610500 27370744 34213430 41221000 68426860 85533575 136853720 171067150 342134300 427667875 684268600 855335750 1710671500 3421343000