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34813000448 = 28373675359
BaseRepresentation
bin100000011011000001…
…000011101100000000
310022212011210122202222
4200123001003230000
51032244112003243
623554243230212
72341461423062
oct403301035400
9108764718688
1034813000448
1113845038556
1268b6978368
13338a56bb65
14198374d732
15d8b443168
hex81b043b00

34813000448 has 36 divisors (see below), whose sum is σ = 71368140480. Its totient is φ = 16936049664.

The previous prime is 34813000447. The next prime is 34813000457. The reversal of 34813000448 is 84400031843.

It is not an unprimeable number, because it can be changed into a prime (34813000447) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1828208 + ... + 1847151.

Almost surely, 234813000448 is an apocalyptic number.

It is an amenable number.

34813000448 is an abundant number, since it is smaller than the sum of its proper divisors (36555140032).

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

34813000448 is an equidigital number, since it uses as much as digits as its factorization.

34813000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675412 (or 3675398 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 34813000448 in words is "thirty-four billion, eight hundred thirteen million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 9472 3675359 7350718 14701436 29402872 58805744 117611488 135988283 235222976 271976566 470445952 543953132 940891904 1087906264 2175812528 4351625056 8703250112 17406500224 34813000448