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4020320340 = 22325177712569
BaseRepresentation
bin1110111110100001…
…0011100001010100
3101101011221102201100
43233220103201110
531213200222330
61502533230100
7201425105361
oct35750234124
911334842640
104020320340
1117834031a3
12942492330
134c0bb789a
142a1d23468
15187e3b060
hexefa13854

4020320340 has 72 divisors (see below), whose sum is σ = 12202805160. Its totient is φ = 1071396864.

The previous prime is 4020320329. The next prime is 4020320347. The reversal of 4020320340 is 430230204.

4020320340 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 320 + 340 = 666.

4020320340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1562937156 + 2457383184 = 39534^2 + 49572^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020320347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313576 + ... + 326144.

It is an arithmetic number, because the mean of its divisors is an integer number (169483405).

Almost surely, 24020320340 is an apocalyptic number.

It is an amenable number.

4020320340 is an abundant number, since it is smaller than the sum of its proper divisors (8182484820).

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

4020320340 is a wasteful number, since it uses less digits than its factorization.

4020320340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14361 (or 14356 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4020320340 is about 63405.9960886981. The cubic root of 4020320340 is about 1590.0845570316.

Adding to 4020320340 its reverse (430230204), we get a palindrome (4450550544).

The spelling of 4020320340 in words is "four billion, twenty million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1777 3554 5331 7108 8885 10662 12569 15993 17770 21324 25138 26655 31986 35540 37707 50276 53310 62845 63972 75414 79965 106620 113121 125690 150828 159930 188535 226242 251380 319860 377070 452484 565605 754140 1131210 2262420 22335113 44670226 67005339 89340452 111675565 134010678 201016017 223351130 268021356 335026695 402032034 446702260 670053390 804064068 1005080085 1340106780 2010160170 4020320340