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420747349 = 11235971397
BaseRepresentation
bin11001000101000…
…001100001010101
31002022201011212011
4121011001201111
51330202403344
6105430024221
713266202441
oct3105014125
91068634764
10420747349
111a6556790
12b8aa8071
1369226c39
143dc45821
1526e10d34
hex19141855

420747349 has 32 divisors (see below), whose sum is σ = 495175680. Its totient is φ = 353707200.

The previous prime is 420747347. The next prime is 420747359. The reversal of 420747349 is 943747024.

It is not a de Polignac number, because 420747349 - 21 = 420747347 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420747347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059619 + ... + 1060015.

It is an arithmetic number, because the mean of its divisors is an integer number (15474240).

Almost surely, 2420747349 is an apocalyptic number.

It is an amenable number.

420747349 is a deficient number, since it is larger than the sum of its proper divisors (74428331).

420747349 is a wasteful number, since it uses less digits than its factorization.

420747349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 420747349 is about 20512.1268765577. The cubic root of 420747349 is about 749.3311660959.

The spelling of 420747349 in words is "four hundred twenty million, seven hundred forty-seven thousand, three hundred forty-nine".

Divisors: 1 11 23 59 71 253 397 649 781 1357 1633 4189 4367 9131 14927 17963 23423 28187 46079 96347 100441 257653 310057 538729 648301 1059817 1663033 5926019 7131311 18293363 38249759 420747349