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1034200003434 = 2313109263346199
BaseRepresentation
bin11110000110010110001…
…11111011001101101010
310122212110011202121102220
433003023013323031222
5113421020200102214
62111034355134510
7134501303661603
oct17031307731552
93585404677386
101034200003434
11369668a38744
121485275a4436
13766a883b070
14380ac5c8daa
151bd7de709a9
hexf0cb1fb36a

1034200003434 has 64 divisors (see below), whose sum is σ = 2248845984000. Its totient is φ = 315169408512.

The previous prime is 1034200003429. The next prime is 1034200003469. The reversal of 1034200003434 is 4343000024301.

It is a super-2 number, since 2×10342000034342 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22362667 + ... + 22408865.

It is an arithmetic number, because the mean of its divisors is an integer number (35138218500).

Almost surely, 21034200003434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034200003434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124422992000).

1034200003434 is an abundant number, since it is smaller than the sum of its proper divisors (1214645980566).

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

1034200003434 is a wasteful number, since it uses less digits than its factorization.

1034200003434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48959.

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

Adding to 1034200003434 its reverse (4343000024301), we get a palindrome (5377200027735).

The spelling of 1034200003434 in words is "one trillion, thirty-four billion, two hundred million, three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 654 1417 2633 2834 4251 5266 7899 8502 15798 34229 46199 68458 92398 102687 138597 205374 277194 286997 573994 600587 860991 1201174 1721982 1801761 3603522 3730961 5035691 7461922 10071382 11192883 15107073 22385766 30214146 65463983 121641967 130927966 196391949 243283934 364925901 392783898 729851802 1581345571 3162691142 4744036713 9488073426 13258974403 26517948806 39776923209 79553846418 172366667239 344733334478 517100001717 1034200003434