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34502432052 = 223115310746091
BaseRepresentation
bin100000001000100000…
…010101010100110100
310022001112102011000210
4200020200111110310
51031130110311202
623503350505420
72331000555624
oct401040252464
9108045364023
1034502432052
11136a57a5960
12682a965270
13333b11088a
1419543c8884
15d6e047c6c
hex808815534

34502432052 has 96 divisors (see below), whose sum is σ = 90319670784. Its totient is φ = 10161923200.

The previous prime is 34502432047. The next prime is 34502432087. The reversal of 34502432052 is 25023420543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725527 + ... + 771617.

It is an arithmetic number, because the mean of its divisors is an integer number (940829904).

Almost surely, 234502432052 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 34502432052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45159835392).

34502432052 is an abundant number, since it is smaller than the sum of its proper divisors (55817238732).

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

34502432052 is a wasteful number, since it uses less digits than its factorization.

34502432052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46269 (or 46267 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34502432052 its reverse (25023420543), we get a palindrome (59525852595).

The spelling of 34502432052 in words is "thirty-four billion, five hundred two million, four hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 107 132 159 212 214 318 321 428 583 636 642 1166 1177 1284 1749 2332 2354 3498 3531 4708 5671 6996 7062 11342 14124 17013 22684 34026 46091 62381 68052 92182 124762 138273 184364 187143 249524 276546 374286 507001 553092 748572 1014002 1521003 2028004 2442823 3042006 4885646 4931737 6084012 7328469 9771292 9863474 14656938 14795211 19726948 26871053 29313876 29590422 53742106 54249107 59180844 80613159 107484212 108498214 161226318 162747321 216996428 261382061 322452636 325494642 522764122 650989284 784146183 1045528244 1568292366 2875202671 3136584732 5750405342 8625608013 11500810684 17251216026 34502432052