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4340980 = 2257101307
BaseRepresentation
bin10000100011110011110100
322011112201001
4100203303310
52102402410
6233013044
751616630
oct20436364
98145631
104340980
1124a5496
121554184
13b8cb37
1480ddc0
155ab33a
hex423cf4

4340980 has 48 divisors (see below), whose sum is σ = 10555776. Its totient is φ = 1468800.

The previous prime is 4340977. The next prime is 4340989. The reversal of 4340980 is 890434.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13987 + ... + 14293.

It is an arithmetic number, because the mean of its divisors is an integer number (219912).

Almost surely, 24340980 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 4340980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277888).

4340980 is an abundant number, since it is smaller than the sum of its proper divisors (6214796).

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

4340980 is a wasteful number, since it uses less digits than its factorization.

4340980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4340980 is about 2083.5018598504. The cubic root of 4340980 is about 163.1282817169.

The spelling of 4340980 in words is "four million, three hundred forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 307 404 505 614 707 1010 1228 1414 1535 2020 2149 2828 3070 3535 4298 6140 7070 8596 10745 14140 21490 31007 42980 62014 124028 155035 217049 310070 434098 620140 868196 1085245 2170490 4340980