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434144711 = 7111323109173
BaseRepresentation
bin11001111000001…
…000010111000111
31010020220211120202
4121320020113013
51342120112321
6111025121115
713521112010
oct3170102707
91106824522
10434144711
11203077390
1210148919b
136bc37c80
1441932007
15281aa70b
hex19e085c7

434144711 has 64 divisors (see below), whose sum is σ = 617379840. Its totient is φ = 294243840.

The previous prime is 434144707. The next prime is 434144713. The reversal of 434144711 is 117441434.

It is not a de Polignac number, because 434144711 - 22 = 434144707 is a prime.

Its product of digits (5376) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434144713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2509421 + ... + 2509593.

It is an arithmetic number, because the mean of its divisors is an integer number (9646560).

Almost surely, 2434144711 is an apocalyptic number.

434144711 is a deficient number, since it is larger than the sum of its proper divisors (183235129).

434144711 is a wasteful number, since it uses less digits than its factorization.

434144711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336.

The product of its digits is 5376, while the sum is 29.

The square root of 434144711 is about 20836.1395416713. The cubic root of 434144711 is about 757.2015684066.

The spelling of 434144711 in words is "four hundred thirty-four million, one hundred forty-four thousand, seven hundred eleven".

Divisors: 1 7 11 13 23 77 91 109 143 161 173 253 299 763 1001 1199 1211 1417 1771 1903 2093 2249 2507 3289 3979 8393 9919 13321 15587 15743 17549 18857 23023 24739 27577 27853 32591 43769 51727 109109 131999 173173 193039 207427 228137 245141 306383 358501 362089 433711 568997 1451989 1715987 2509507 2696551 3035977 3982979 4770821 5638243 18875857 33395747 39467701 62020673 434144711