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434144217 = 31347239991
BaseRepresentation
bin11001111000001…
…000001111011001
31010020220210220110
4121320020033121
51342120103332
6111025114533
713521110403
oct3170101731
91106823813
10434144217
11203076a81
12101488a49
136bc37990
1441931b73
15281aa4cc
hex19e083d9

434144217 has 32 divisors (see below), whose sum is σ = 639959040. Its totient is φ = 260124480.

The previous prime is 434144153. The next prime is 434144233. The reversal of 434144217 is 712441434.

It is not a de Polignac number, because 434144217 - 26 = 434144153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434144257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437592 + ... + 438582.

It is an arithmetic number, because the mean of its divisors is an integer number (19998720).

Almost surely, 2434144217 is an apocalyptic number.

434144217 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

434144217 is a deficient number, since it is larger than the sum of its proper divisors (205814823).

434144217 is a wasteful number, since it uses less digits than its factorization.

434144217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293.

The product of its digits is 10752, while the sum is 30.

The square root of 434144217 is about 20836.1276872647. The cubic root of 434144217 is about 757.2012812076.

The spelling of 434144217 in words is "four hundred thirty-four million, one hundred forty-four thousand, two hundred seventeen".

Divisors: 1 3 13 39 47 141 239 611 717 991 1833 2973 3107 9321 11233 12883 33699 38649 46577 139731 146029 236849 438087 605501 710547 1816503 3079037 9237111 11131903 33395709 144714739 434144217