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1322664320 = 2754614483
BaseRepresentation
bin100111011010110…
…0100000110000000
310102011211022100102
41032311210012000
510202100224240
6335125141532
744530314125
oct11665440600
93364738312
101322664320
1161967830a
1230ab5a8a8
13181042013
14c794074c
157b1ba815
hex4ed64180

1322664320 has 64 divisors (see below), whose sum is σ = 3169560240. Its totient is φ = 527800320.

The previous prime is 1322664313. The next prime is 1322664323. The reversal of 1322664320 is 234662231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322664323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292799 + ... + 297281.

Almost surely, 21322664320 is an apocalyptic number.

1322664320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584780120).

1322664320 is an abundant number, since it is smaller than the sum of its proper divisors (1846895920).

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

1322664320 is an equidigital number, since it uses as much as digits as its factorization.

1322664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 1322664320 is about 36368.4522629160. The cubic root of 1322664320 is about 1097.6988589144.

The spelling of 1322664320 in words is "one billion, three hundred twenty-two million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 461 640 922 1844 2305 3688 4483 4610 7376 8966 9220 14752 17932 18440 22415 29504 35864 36880 44830 59008 71728 73760 89660 143456 147520 179320 286912 295040 358640 573824 717280 1434560 2066663 2869120 4133326 8266652 10333315 16533304 20666630 33066608 41333260 66133216 82666520 132266432 165333040 264532864 330666080 661332160 1322664320