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213343440 = 2435888931
BaseRepresentation
bin11001011011101…
…01110011010000
3112212102222011220
430231311303100
5414103442230
633100405040
75200250352
oct1455656320
9485388156
10213343440
11aa4770a2
125b546780
133527992b
14204970d2
1513ae2d10
hexcb75cd0

213343440 has 40 divisors (see below), whose sum is σ = 661365408. Its totient is φ = 56891520.

The previous prime is 213343409. The next prime is 213343447. The reversal of 213343440 is 44343312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213343440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213343447) 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, 444226 + ... + 444705.

Almost surely, 2213343440 is an apocalyptic number.

213343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213343440 is an abundant number, since it is smaller than the sum of its proper divisors (448021968).

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

213343440 is a wasteful number, since it uses less digits than its factorization.

213343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888947 (or 888941 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 213343440 is about 14606.2808407890. The cubic root of 213343440 is about 597.5300685719.

Adding to 213343440 its reverse (44343312), we get a palindrome (257686752).

The spelling of 213343440 in words is "two hundred thirteen million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 888931 1777862 2666793 3555724 4444655 5333586 7111448 8889310 10667172 13333965 14222896 17778620 21334344 26667930 35557240 42668688 53335860 71114480 106671720 213343440