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4142340 = 223452557
BaseRepresentation
bin1111110011010100000100
321210110020000
433303110010
52030023330
6224441300
750131536
oct17632404
97713200
104142340
11237a224
121479230
13b205b7
1479b856
1556c560
hex3f3504

4142340 has 60 divisors (see below), whose sum is σ = 12999756. Its totient is φ = 1104192.

The previous prime is 4142311. The next prime is 4142363. The reversal of 4142340 is 432414.

4142340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 2509056 = 1278^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 342 + ... + 2898.

Almost surely, 24142340 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 4142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499878).

4142340 is an abundant number, since it is smaller than the sum of its proper divisors (8857416).

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

4142340 is a wasteful number, since it uses less digits than its factorization.

4142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4142340 is about 2035.2739373362. The cubic root of 4142340 is about 160.6011241493.

Adding to 4142340 its reverse (432414), we get a palindrome (4574754).

The spelling of 4142340 in words is "four million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2557 5114 7671 10228 12785 15342 23013 25570 30684 38355 46026 51140 69039 76710 92052 115065 138078 153420 207117 230130 276156 345195 414234 460260 690390 828468 1035585 1380780 2071170 4142340