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3421382700 = 2235214976541
BaseRepresentation
bin1100101111101110…
…0010100000101100
322211102221020201210
43023323202200230
524001333221300
61323300034420
7150533162451
oct31373424054
98742836653
103421382700
1114a631050a
127b5992a10
13426aa1708
14246575828
1515057d050
hexcbee282c

3421382700 has 72 divisors (see below), whose sum is σ = 9965768400. Its totient is φ = 906233600.

The previous prime is 3421382681. The next prime is 3421382743. The reversal of 3421382700 is 72831243.

3421382700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6430 + ... + 82970.

It is an arithmetic number, because the mean of its divisors is an integer number (138413450).

Almost surely, 23421382700 is an apocalyptic number.

3421382700 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 3421382700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982884200).

3421382700 is an abundant number, since it is smaller than the sum of its proper divisors (6544385700).

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

3421382700 is a wasteful number, since it uses less digits than its factorization.

3421382700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76707 (or 76700 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3421382700 is about 58492.5867097703. The cubic root of 3421382700 is about 1506.8402708261.

The spelling of 3421382700 in words is "three billion, four hundred twenty-one million, three hundred eighty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1490 1788 2235 2980 3725 4470 7450 8940 11175 14900 22350 44700 76541 153082 229623 306164 382705 459246 765410 918492 1148115 1530820 1913525 2296230 3827050 4592460 5740575 7654100 11404609 11481150 22809218 22962300 34213827 45618436 57023045 68427654 114046090 136855308 171069135 228092180 285115225 342138270 570230450 684276540 855345675 1140460900 1710691350 3421382700