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212340432 = 24314932963
BaseRepresentation
bin11001010100000…
…00111011010000
3112210120000022110
430222000323100
5413324343212
633023105320
75155602213
oct1452007320
9483500273
10212340432
11a9951567
125b142240
1334cb8235
14202b577a
1513995a3c
hexca80ed0

212340432 has 40 divisors (see below), whose sum is σ = 549098784. Its totient is φ = 70708864.

The previous prime is 212340413. The next prime is 212340437. The reversal of 212340432 is 234043212.

It is a junction number, because it is equal to n+sod(n) for n = 212340399 and 212340408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212340437) 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 7 ways as a sum of consecutive naturals, for example, 70183 + ... + 73145.

Almost surely, 2212340432 is an apocalyptic number.

It is an amenable number.

212340432 is an abundant number, since it is smaller than the sum of its proper divisors (336758352).

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

212340432 is a wasteful number, since it uses less digits than its factorization.

212340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 212340432 is about 14571.9055720245. The cubic root of 212340432 is about 596.5921925017.

Adding to 212340432 its reverse (234043212), we get a palindrome (446383644).

The spelling of 212340432 in words is "two hundred twelve million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1493 2963 2986 4479 5926 5972 8889 8958 11852 11944 17778 17916 23704 23888 35556 35832 47408 71112 71664 142224 4423759 8847518 13271277 17695036 26542554 35390072 53085108 70780144 106170216 212340432