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10434034312 = 23132311032417
BaseRepresentation
bin10011011011110101…
…01011101010001000
3222221011110212021021
421231322223222020
5132332103044222
64443205322224
7516364554052
oct115572535210
928834425237
1010434034312
114474816459
122032406374
13ca38b7100
1470da668d2
15411045ac7
hex26deaba88

10434034312 has 96 divisors (see below), whose sum is σ = 22089300480. Its totient is φ = 4613207040.

The previous prime is 10434034307. The next prime is 10434034333. The reversal of 10434034312 is 21343043401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4315728 + ... + 4318144.

It is an arithmetic number, because the mean of its divisors is an integer number (230096880).

Almost surely, 210434034312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044650240).

10434034312 is an abundant number, since it is smaller than the sum of its proper divisors (11655266168).

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

10434034312 is a wasteful number, since it uses less digits than its factorization.

10434034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10434034312 its reverse (21343043401), we get a palindrome (31777077713).

The spelling of 10434034312 in words is "ten billion, four hundred thirty-four million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 62 103 104 124 169 206 248 338 403 412 676 806 824 1339 1352 1612 2417 2678 3193 3224 4834 5239 5356 6386 9668 10478 10712 12772 17407 19336 20956 25544 31421 34814 41509 41912 62842 69628 74927 83018 125684 139256 149854 166036 248951 251368 299708 332072 408473 497902 539617 599416 816946 974051 995804 1079234 1633892 1948102 1991608 2158468 3236363 3267784 3896204 4316936 6472726 7717481 7792408 12662663 12945452 15434962 25325326 25890904 30869924 42072719 50650652 61739848 84145438 100327253 101301304 168290876 200654506 336581752 401309012 802618024 1304254289 2608508578 5217017156 10434034312