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320463640 = 23572814073
BaseRepresentation
bin10011000110011…
…110001100011000
3211100000020110201
4103012132030120
51124014314030
651444351544
710640616220
oct2306361430
9740006421
10320463640
11154991092
128b3a55b4
1351514273
14307bd080
151d2022ca
hex1319e318

320463640 has 64 divisors (see below), whose sum is σ = 827184960. Its totient is φ = 109455360.

The previous prime is 320463631. The next prime is 320463641. The reversal of 320463640 is 46364023.

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

It is a junction number, because it is equal to n+sod(n) for n = 320463599 and 320463608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320463641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76644 + ... + 80716.

It is an arithmetic number, because the mean of its divisors is an integer number (12924765).

Almost surely, 2320463640 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 320463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413592480).

320463640 is an abundant number, since it is smaller than the sum of its proper divisors (506721320).

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

320463640 is a wasteful number, since it uses less digits than its factorization.

320463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 320463640 is about 17901.4982613188. The cubic root of 320463640 is about 684.3205581124.

The spelling of 320463640 in words is "three hundred twenty million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 281 562 1124 1405 1967 2248 2810 3934 4073 5620 7868 8146 9835 11240 15736 16292 19670 20365 28511 32584 39340 40730 57022 78680 81460 114044 142555 162920 228088 285110 570220 1140440 1144513 2289026 4578052 5722565 8011591 9156104 11445130 16023182 22890260 32046364 40057955 45780520 64092728 80115910 160231820 320463640