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34494482432 = 21125765537
BaseRepresentation
bin100000001000000010…
…000000100000000000
310022000222110021012102
4200020002000200000
51031121041414212
623502504245532
72330543156114
oct401002004000
9108028407172
1034494482432
11136a1266223
1268281708a8
133339589367
141953319744
15d6d4c75c2
hex808080800

34494482432 has 48 divisors (see below), whose sum is σ = 69241552380. Its totient is φ = 17179869184.

The previous prime is 34494482413. The next prime is 34494482443. The reversal of 34494482432 is 23428449443.

It can be written as a sum of positive squares in 2 ways, for example, as 19528385536 + 14966096896 = 139744^2 + 122336^2 .

It is an unprimeable number.

In principle, a polygon with 34494482432 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 493568 + ... + 559104.

Almost surely, 234494482432 is an apocalyptic number.

34494482432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34494482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34620776190).

34494482432 is an abundant number, since it is smaller than the sum of its proper divisors (34747069948).

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

34494482432 is an equidigital number, since it uses as much as digits as its factorization.

34494482432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65816 (or 65796 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 47.

The spelling of 34494482432 in words is "thirty-four billion, four hundred ninety-four million, four hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2048 2056 4112 8224 16448 32896 65537 65792 131074 131584 262148 263168 524296 526336 1048592 2097184 4194368 8388736 16777472 16843009 33554944 33686018 67109888 67372036 134219776 134744072 269488144 538976288 1077952576 2155905152 4311810304 8623620608 17247241216 34494482432