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320466213 = 36371092
BaseRepresentation
bin10011000110011…
…110110100100101
3211100000101000000
4103012132310211
51124014404323
651444411513
710640626554
oct2306366445
9740011000
10320466213
11154993011
128b3a6b99
13515154a2
14307bdd9b
151d202e43
hex1319ed25

320466213 has 42 divisors (see below), whose sum is σ = 498034194. Its totient is φ = 205962912.

The previous prime is 320466187. The next prime is 320466227. The reversal of 320466213 is 312664023.

320466213 is a `hidden beast` number, since 32 + 0 + 4 + 6 + 621 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 172186884 + 148279329 = 13122^2 + 12177^2 .

It is not a de Polignac number, because 320466213 - 218 = 320204069 is a prime.

It is a super-2 number, since 2×3204662132 = 205397187349122738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320466413) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2940003 + ... + 2940111.

It is an arithmetic number, because the mean of its divisors is an integer number (11857957).

Almost surely, 2320466213 is an apocalyptic number.

It is an amenable number.

320466213 is a deficient number, since it is larger than the sum of its proper divisors (177567981).

320466213 is an frugal number, since it uses more digits than its factorization.

320466213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 320466213 is about 17901.5701266677. The cubic root of 320466213 is about 684.3223895756.

The spelling of 320466213 in words is "three hundred twenty million, four hundred sixty-six thousand, two hundred thirteen".

Divisors: 1 3 9 27 37 81 109 111 243 327 333 729 981 999 2943 2997 4033 8829 8991 11881 12099 26487 26973 35643 36297 79461 106929 108891 320787 326673 439597 962361 980019 1318791 2887083 2940057 3956373 8661249 11869119 35607357 106822071 320466213