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434772441 = 354341609
BaseRepresentation
bin11001111010100…
…001100111011001
31010022002201200000
4121322201213121
51342300204231
6111050403213
713526335065
oct3172414731
91108081600
10434772441
11203465a74
12101730509
136c0c78cc
1441a56aa5
15282816e6
hex19ea19d9

434772441 has 24 divisors (see below), whose sum is σ = 666425760. Its totient is φ = 283100832.

The previous prime is 434772439. The next prime is 434772449. The reversal of 434772441 is 144277434.

It is a happy number.

It is not a de Polignac number, because 434772441 - 21 = 434772439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434772396 and 434772405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434772449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10356 + ... + 31253.

It is an arithmetic number, because the mean of its divisors is an integer number (27767740).

Almost surely, 2434772441 is an apocalyptic number.

It is an amenable number.

434772441 is a deficient number, since it is larger than the sum of its proper divisors (231653319).

434772441 is an equidigital number, since it uses as much as digits as its factorization.

434772441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41667 (or 41655 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 434772441 is about 20851.1975915054. The cubic root of 434772441 is about 757.5663386662.

The spelling of 434772441 in words is "four hundred thirty-four million, seven hundred seventy-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 43 81 129 243 387 1161 3483 10449 41609 124827 374481 1123443 1789187 3370329 5367561 10110987 16102683 48308049 144924147 434772441