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212434352 = 24132251313
BaseRepresentation
bin11001010100101…
…11110110110000
3112210201210010222
430222113312300
5413340344402
633025112212
75156443064
oct1452276660
9483653128
10212434352
11a9a06089
125b188668
133501bc00
14202dbaa4
15139b37a2
hexca97db0

212434352 has 60 divisors (see below), whose sum is σ = 448893144. Its totient is φ = 97344000.

The previous prime is 212434349. The next prime is 212434361. The reversal of 212434352 is 253434212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678548 + ... + 678860.

Almost surely, 2212434352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224446572).

212434352 is an abundant number, since it is smaller than the sum of its proper divisors (236458792).

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

212434352 is a wasteful number, since it uses less digits than its factorization.

212434352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 579 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 212434352 is about 14575.1278553569. The cubic root of 212434352 is about 596.6801388231.

Adding to 212434352 its reverse (253434212), we get a palindrome (465868564).

The spelling of 212434352 in words is "two hundred twelve million, four hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 251 313 338 502 626 676 1004 1252 1352 2008 2504 2704 3263 4016 4069 5008 6526 8138 13052 16276 26104 32552 42419 52208 52897 65104 78563 84838 105794 157126 169676 211588 314252 339352 423176 628504 678704 846352 1021319 1257008 2042638 4085276 8170552 13277147 16341104 26554294 53108588 106217176 212434352