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434224413 = 327611031097
BaseRepresentation
bin11001111000011…
…011110100011101
31010021001212220200
4121320123310131
51342130140123
6111030534113
713521563250
oct3170336435
91107055820
10434224413
11203121257
12101507339
136bc6532c
1441953097
15281c4143
hex19e1bd1d

434224413 has 48 divisors (see below), whose sum is σ = 736310016. Its totient is φ = 241470720.

The previous prime is 434224393. The next prime is 434224433. The reversal of 434224413 is 314422434.

It is a happy number.

434224413 is a `hidden beast` number, since 434 + 224 + 4 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (434224393) and next prime (434224433).

It is not a de Polignac number, because 434224413 - 29 = 434223901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434224433) 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 47 ways as a sum of consecutive naturals, for example, 395281 + ... + 396377.

It is an arithmetic number, because the mean of its divisors is an integer number (15339792).

Almost surely, 2434224413 is an apocalyptic number.

It is an amenable number.

434224413 is a deficient number, since it is larger than the sum of its proper divisors (302085603).

434224413 is a wasteful number, since it uses less digits than its factorization.

434224413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1271 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 434224413 is about 20838.0520442771. The cubic root of 434224413 is about 757.2479022557.

Adding to 434224413 its reverse (314422434), we get a palindrome (748646847).

The spelling of 434224413 in words is "four hundred thirty-four million, two hundred twenty-four thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 61 63 103 183 309 427 549 721 927 1097 1281 2163 3291 3843 6283 6489 7679 9873 18849 23037 43981 56547 66917 69111 112991 131943 200751 338973 395829 468419 602253 790937 1016919 1405257 2372811 4215771 6892451 7118433 20677353 48247157 62032059 144741471 434224413