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473304320 = 2851971877
BaseRepresentation
bin11100001101100…
…000110100000000
31012222121100110122
4130031200310000
51432131214240
6114544315412
714505006656
oct3415406400
91188540418
10473304320
112231935a5
12112612b68
1377099138
1446c06dd6
152b8434b5
hex1c360d00

473304320 has 72 divisors (see below), whose sum is σ = 1140073704. Its totient is φ = 188260352.

The previous prime is 473304283. The next prime is 473304329. The reversal of 473304320 is 23403374.

It can be written as a sum of positive squares in 4 ways, for example, as 199600384 + 273703936 = 14128^2 + 16544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 473304320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473304329) 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, 251222 + ... + 253098.

It is an arithmetic number, because the mean of its divisors is an integer number (15834357).

Almost surely, 2473304320 is an apocalyptic number.

473304320 is a gapful number since it is divisible by the number (40) 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 473304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570036852).

473304320 is an abundant number, since it is smaller than the sum of its proper divisors (666769384).

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

473304320 is a wasteful number, since it uses less digits than its factorization.

473304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 26.

The square root of 473304320 is about 21755.5583702189. The cubic root of 473304320 is about 779.3158146745.

Adding to 473304320 its reverse (23403374), we get a palindrome (496707694).

The spelling of 473304320 in words is "four hundred seventy-three million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 320 394 640 788 985 1280 1576 1877 1970 3152 3754 3940 6304 7508 7880 9385 12608 15016 15760 18770 25216 30032 31520 37540 50432 60064 63040 75080 120128 126080 150160 240256 252160 300320 369769 480512 600640 739538 1201280 1479076 1848845 2402560 2958152 3697690 5916304 7395380 11832608 14790760 23665216 29581520 47330432 59163040 94660864 118326080 236652160 473304320