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10434420330 = 2357912734667
BaseRepresentation
bin10011011011111000…
…01001111001101010
3222221012012110210020
421231330021321222
5132332202422310
64443221501310
7516401052345
oct115574117152
928835173706
1010434420330
114474a5a484
122032571836
13ca39c0a19
1470db2745c
154110c0170
hex26df09e6a

10434420330 has 64 divisors (see below), whose sum is σ = 25560023040. Its totient is φ = 2725579584.

The previous prime is 10434420317. The next prime is 10434420341. The reversal of 10434420330 is 3302443401.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10434420330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283657 + ... + 318323.

It is an arithmetic number, because the mean of its divisors is an integer number (399375360).

Almost surely, 210434420330 is an apocalyptic number.

10434420330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10434420330 is an abundant number, since it is smaller than the sum of its proper divisors (15125602710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10434420330 is a wasteful number, since it uses less digits than its factorization.

10434420330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34883.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10434420330 its reverse (3302443401), we get a palindrome (13736863731).

The spelling of 10434420330 in words is "ten billion, four hundred thirty-four million, four hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 79 127 158 237 254 381 395 474 635 762 790 1185 1270 1905 2370 3810 10033 20066 30099 34667 50165 60198 69334 100330 104001 150495 173335 208002 300990 346670 520005 1040010 2738693 4402709 5477386 8216079 8805418 13208127 13693465 16432158 22013545 26416254 27386930 41080395 44027090 66040635 82160790 132081270 347814011 695628022 1043442033 1739070055 2086884066 3478140110 5217210165 10434420330