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434442311238 = 2313191173124989
BaseRepresentation
bin1100101001001101100…
…01111001011001000110
31112112101000212001202210
412110212301321121012
524104214212424423
6531325142244250
743246612500405
oct6244661713106
91475330761683
10434442311238
111582783a4631
1270245a26686
1331c7715bc70
14170545bb63c
15b47a517b93
hex6526c79646

434442311238 has 64 divisors (see below), whose sum is σ = 985093804800. Its totient is φ = 126623191680.

The previous prime is 434442311213. The next prime is 434442311269. The reversal of 434442311238 is 832113244434.

It is a super-2 number, since 2×4344423112382 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 434442311196 and 434442311205.

It is a congruent number.

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, 17372848 + ... + 17397836.

It is an arithmetic number, because the mean of its divisors is an integer number (15392090700).

Almost surely, 2434442311238 is an apocalyptic number.

434442311238 is an abundant number, since it is smaller than the sum of its proper divisors (550651493562).

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

434442311238 is a wasteful number, since it uses less digits than its factorization.

434442311238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36757.

The product of its digits is 221184, while the sum is 39.

The spelling of 434442311238 in words is "four hundred thirty-four billion, four hundred forty-two million, three hundred eleven thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 11731 23462 24989 35193 49978 70386 74967 149934 152503 222889 305006 324857 445778 457509 474791 649714 668667 915018 949582 974571 1337334 1424373 1949142 2848746 2897557 5795114 6172283 8692671 12344566 17385342 18516849 37033698 293145959 586291918 879437877 1758875754 3810897467 5569773221 7621794934 11139546442 11432692401 16709319663 22865384802 33418639326 72407051873 144814103746 217221155619 434442311238