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434122417 = 5314895501
BaseRepresentation
bin11001111000000…
…010111010110001
31010020212201000001
4121320002322301
51342113404132
6111024430001
713520660011
oct3170027261
91106781001
10434122417
11203061663
12101478301
136bc2aa91
1441927c41
15281a3ce7
hex19e02eb1

434122417 has 8 divisors (see below), whose sum is σ = 442690920. Its totient is φ = 425568000.

The previous prime is 434122411. The next prime is 434122477. The reversal of 434122417 is 714221434.

It can be written as a sum of positive squares in 4 ways, for example, as 171714816 + 262407601 = 13104^2 + 16199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 434122417 - 27 = 434122289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434122411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76167 + ... + 81667.

It is an arithmetic number, because the mean of its divisors is an integer number (55336365).

Almost surely, 2434122417 is an apocalyptic number.

It is an amenable number.

434122417 is a deficient number, since it is larger than the sum of its proper divisors (8568503).

434122417 is a wasteful number, since it uses less digits than its factorization.

434122417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043.

The product of its digits is 5376, while the sum is 28.

The square root of 434122417 is about 20835.6045508644. The cubic root of 434122417 is about 757.1886070289.

The spelling of 434122417 in words is "four hundred thirty-four million, one hundred twenty-two thousand, four hundred seventeen".

Divisors: 1 53 1489 5501 78917 291553 8190989 434122417