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214531434 = 232134159379
BaseRepresentation
bin11001100100101…
…11110101101010
3112221200022210200
430302113311222
5414410001214
633142053030
75213326035
oct1462276552
9487608720
10214531434
11100108707
125ba1a176
13355a45a0
14206c601c
1513c79d09
hexcc97d6a

214531434 has 96 divisors (see below), whose sum is σ = 522849600. Its totient is φ = 63141120.

The previous prime is 214531433. The next prime is 214531481. The reversal of 214531434 is 434135412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214531398 and 214531407.

It is not an unprimeable number, because it can be changed into a prime (214531433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565857 + ... + 566235.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2214531434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214531434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

214531434 is an abundant number, since it is smaller than the sum of its proper divisors (308318166).

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

214531434 is a wasteful number, since it uses less digits than its factorization.

214531434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 214531434 is about 14646.8916156296. The cubic root of 214531434 is about 598.6371232891.

Adding to 214531434 its reverse (434135412), we get a palindrome (648666846).

The spelling of 214531434 in words is "two hundred fourteen million, five hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 41 59 78 82 117 118 123 177 234 246 354 369 379 531 533 738 758 767 1062 1066 1137 1534 1599 2274 2301 2419 3198 3411 4602 4797 4838 4927 6822 6903 7257 9594 9854 13806 14514 14781 15539 21771 22361 29562 31078 31447 43542 44343 44722 46617 62894 67083 88686 93234 94341 134166 139851 188682 201249 202007 279702 283023 290693 402498 404014 566046 581386 606021 872079 916801 1212042 1744158 1818063 1833602 2616237 2750403 3636126 5232474 5500806 8251209 11918413 16502418 23836826 35755239 71510478 107265717 214531434