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3443142100 = 22523110391069
BaseRepresentation
bin1100110100111010…
…0010110111010100
322212221212202000111
43031032202313110
524022421021400
61325354252404
7151216140106
oct31516426724
98787782014
103443142100
111507622692
12801127104
1342b44c8b8
142493db576
1515242a3ba
hexcd3a2dd4

3443142100 has 72 divisors (see below), whose sum is σ = 7727283200. Its totient is φ = 1330300800.

The previous prime is 3443142091. The next prime is 3443142103. The reversal of 3443142100 is 12413443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3443142103) by changing a digit.

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, 3220366 + ... + 3221434.

Almost surely, 23443142100 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 3443142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863641600).

3443142100 is an abundant number, since it is smaller than the sum of its proper divisors (4284141100).

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

3443142100 is a wasteful number, since it uses less digits than its factorization.

3443142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3443142100 is about 58678.2932607962. The cubic root of 3443142100 is about 1510.0279368543.

Adding to 3443142100 its reverse (12413443), we get a palindrome (3455555543).

The spelling of 3443142100 in words is "three billion, four hundred forty-three million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1039 1069 1550 2078 2138 3100 4156 4276 5195 5345 10390 10690 20780 21380 25975 26725 32209 33139 51950 53450 64418 66278 103900 106900 128836 132556 161045 165695 322090 331390 644180 662780 805225 828475 1110691 1610450 1656950 2221382 3220900 3313900 4442764 5553455 11106910 22213820 27767275 34431421 55534550 68862842 111069100 137725684 172157105 344314210 688628420 860785525 1721571050 3443142100