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3426889662 = 232747737927
BaseRepresentation
bin1100110001000010…
…0010111110111110
322211211022000212100
43030100202332332
524004240432122
61324014045530
7150631036650
oct31420427676
98754260770
103426889662
1114a9431a19
127b77a98a6
13427c7c181
142471aa6d0
15150cb9aac
hexcc422fbe

3426889662 has 96 divisors (see below), whose sum is σ = 8785999872. Its totient is φ = 945032832.

The previous prime is 3426889567. The next prime is 3426889693. The reversal of 3426889662 is 2669886243.

It is a junction number, because it is equal to n+sod(n) for n = 3426889599 and 3426889608.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 428343 + ... + 436269.

It is an arithmetic number, because the mean of its divisors is an integer number (91520832).

Almost surely, 23426889662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426889662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392999936).

3426889662 is an abundant number, since it is smaller than the sum of its proper divisors (5359110210).

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

3426889662 is a wasteful number, since it uses less digits than its factorization.

3426889662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 8059 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3426889662 is about 58539.6417993824. The cubic root of 3426889662 is about 1507.6482934570.

The spelling of 3426889662 in words is "three billion, four hundred twenty-six million, eight hundred eighty-nine thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 73 94 126 141 146 219 282 329 423 438 511 657 658 846 987 1022 1314 1533 1974 2961 3066 3431 4599 5922 6862 7927 9198 10293 15854 20586 23781 24017 30879 47562 48034 55489 61758 71343 72051 110978 142686 144102 166467 216153 332934 372569 432306 499401 578671 745138 998802 1117707 1157342 1736013 2235414 2607983 3353121 3472026 4050697 5208039 5215966 6706242 7823949 8101394 10416078 12152091 15647898 23471847 24304182 27197537 36456273 46943694 54395074 72912546 81592611 163185222 190382759 244777833 380765518 489555666 571148277 1142296554 1713444831 3426889662