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434214351 = 3437144883
BaseRepresentation
bin11001111000011…
…001010111001111
31010021001101010000
4121320121113033
51342124324401
6111030415343
713521522024
oct3170312717
91107041100
10434214351
1120311473a
12101501553
136bc6088c
144194d54b
15281c1186
hex19e195cf

434214351 has 20 divisors (see below), whose sum is σ = 666176632. Its totient is φ = 281650608.

The previous prime is 434214343. The next prime is 434214413. The reversal of 434214351 is 153412434.

It is a happy number.

It is not a de Polignac number, because 434214351 - 23 = 434214343 is a prime.

It is a super-2 number, since 2×4342143512 = 377084205228702402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434254351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69445 + ... + 75438.

Almost surely, 2434214351 is an apocalyptic number.

434214351 is a deficient number, since it is larger than the sum of its proper divisors (231962281).

434214351 is a wasteful number, since it uses less digits than its factorization.

434214351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144932 (or 144923 counting only the distinct ones).

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

The square root of 434214351 is about 20837.8106095626. The cubic root of 434214351 is about 757.2420531395.

Adding to 434214351 its reverse (153412434), we get a palindrome (587626785).

The spelling of 434214351 in words is "four hundred thirty-four million, two hundred fourteen thousand, three hundred fifty-one".

Divisors: 1 3 9 27 37 81 111 333 999 2997 144883 434649 1303947 3911841 5360671 11735523 16082013 48246039 144738117 434214351