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34485232804 = 221122323672
BaseRepresentation
bin100000000111011110…
…101110010010100100
310022000100001100002121
4200013132232102210
51031111204422204
623501534115324
72330401433221
oct400736562244
9108010040077
1034485232804
1113697018900
12682504bb44
13333769b1c9
141951dcc948
15d6c79bb54
hex8077ae4a4

34485232804 has 81 divisors (see below), whose sum is σ = 69533151051. Its totient is φ = 14952725040.

The previous prime is 34485232801. The next prime is 34485232843. The reversal of 34485232804 is 40823258443.

The square root of 34485232804 is 185702.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34485232801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93965029 + ... + 93965395.

Almost surely, 234485232804 is an apocalyptic number.

34485232804 is the 185702-nd square number.

It is an amenable number.

34485232804 is an abundant number, since it is smaller than the sum of its proper divisors (35047918247).

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

34485232804 is a wasteful number, since it uses less digits than its factorization.

34485232804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

It can be divided in two parts, 34485 and 232804, that added together give a square (267289 = 5172).

The spelling of 34485232804 in words is "thirty-four billion, four hundred eighty-five million, two hundred thirty-two thousand, eight hundred four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 367 484 506 529 734 1012 1058 1468 2116 2783 4037 5566 5819 8074 8441 11132 11638 16148 16882 23276 33764 44407 64009 88814 92851 128018 134689 177628 185702 194143 256036 269378 371404 388286 538756 776572 1021361 1481579 2042722 2135573 2963158 3097847 4085444 4271146 5926316 6195694 8542292 12391388 16297369 23491303 32594738 34076317 46982606 65189476 68152634 71250481 93965212 136305268 142500962 285001924 374839487 749678974 783755291 1499357948 1567510582 3135021164 8621308201 17242616402 34485232804