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431345457 = 3261785693
BaseRepresentation
bin11001101101011…
…100111100110001
31010001122121201200
4121231130330301
51340411023312
6110445121413
713455242634
oct3155347461
91101577650
10431345457
11201535254
12100559269
136b497aca
1441403c1b
1527d060dc
hex19b5cf31

431345457 has 12 divisors (see below), whose sum is σ = 633269364. Its totient is φ = 282849120.

The previous prime is 431345443. The next prime is 431345479. The reversal of 431345457 is 754543134.

It can be written as a sum of positive squares in 2 ways, for example, as 121022001 + 310323456 = 11001^2 + 17616^2 .

It is a de Polignac number, because none of the positive numbers 2k-431345457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431345417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392298 + ... + 393395.

It is an arithmetic number, because the mean of its divisors is an integer number (52772447).

Almost surely, 2431345457 is an apocalyptic number.

It is an amenable number.

431345457 is a deficient number, since it is larger than the sum of its proper divisors (201923907).

431345457 is a wasteful number, since it uses less digits than its factorization.

431345457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785760 (or 785757 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 431345457 is about 20768.8578646010. The cubic root of 431345457 is about 755.5706441247.

It can be divided in two parts, 4313 and 45457, that added together give a triangular number (49770 = T315).

The spelling of 431345457 in words is "four hundred thirty-one million, three hundred forty-five thousand, four hundred fifty-seven".

Divisors: 1 3 9 61 183 549 785693 2357079 7071237 47927273 143781819 431345457