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434144625 = 3536118979
BaseRepresentation
bin11001111000001…
…000010101110001
31010020220211110120
4121320020111301
51342120112000
6111025120453
713521111525
oct3170102561
91106824416
10434144625
11203077312
12101489129
136bc37c15
1441931d85
15281aa6a0
hex19e08571

434144625 has 32 divisors (see below), whose sum is σ = 734298240. Its totient is φ = 227736000.

The previous prime is 434144621. The next prime is 434144629. The reversal of 434144625 is 526441434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434144621) and next prime (434144629).

It is not a de Polignac number, because 434144625 - 22 = 434144621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434144621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13386 + ... + 32364.

It is an arithmetic number, because the mean of its divisors is an integer number (22946820).

Almost surely, 2434144625 is an apocalyptic number.

It is an amenable number.

434144625 is a deficient number, since it is larger than the sum of its proper divisors (300153615).

434144625 is a wasteful number, since it uses less digits than its factorization.

434144625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19058 (or 19048 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 434144625 is about 20836.1374779492. The cubic root of 434144625 is about 757.2015184084.

The spelling of 434144625 in words is "four hundred thirty-four million, one hundred forty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 61 75 125 183 305 375 915 1525 4575 7625 18979 22875 56937 94895 284685 474475 1157719 1423425 2372375 3473157 5788595 7117125 17365785 28942975 86828925 144714875 434144625