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213424704 = 2632370529
BaseRepresentation
bin11001011100010…
…01101001000000
3112212121002122200
430232021221000
5414114042304
633102233200
75201036313
oct1456115100
9485532580
10213424704
11aa522159
125b585800
13352a790c
14204b897a
1513b0be39
hexcb89a40

213424704 has 42 divisors (see below), whose sum is σ = 611745030. Its totient is φ = 71141376.

The previous prime is 213424703. The next prime is 213424711. The reversal of 213424704 is 407424312.

It can be written as a sum of positive squares in only one way, i.e., 172975104 + 40449600 = 13152^2 + 6360^2 .

It is not an unprimeable number, because it can be changed into a prime (213424703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184689 + ... + 185840.

Almost surely, 2213424704 is an apocalyptic number.

213424704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213424704 is an abundant number, since it is smaller than the sum of its proper divisors (398320326).

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

213424704 is a wasteful number, since it uses less digits than its factorization.

213424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370547 (or 370534 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 213424704 is about 14609.0623929121. The cubic root of 213424704 is about 597.6059267273.

The spelling of 213424704 in words is "two hundred thirteen million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 370529 741058 1111587 1482116 2223174 2964232 3334761 4446348 5928464 6669522 8892696 11856928 13339044 17785392 23713856 26678088 35570784 53356176 71141568 106712352 213424704