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34276442240 = 27553556941
BaseRepresentation
bin11111111011000010…
…010000000010000000
310021110210011200021202
4133323002100002000
51030144232122430
623425115040332
72322254644325
oct377302200200
9107423150252
1034276442240
111359a181417
1267871400a8
1333033569b1
14193239cb4c
15d592a7d45
hex7fb090080

34276442240 has 32 divisors (see below), whose sum is σ = 81942121260. Its totient is φ = 13710576640.

The previous prime is 34276442203. The next prime is 34276442309. The reversal of 34276442240 is 4224467243.

It can be written as a sum of positive squares in 2 ways, for example, as 30490747456 + 3785694784 = 174616^2 + 61528^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 34276442194 and 34276442203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26777831 + ... + 26779110.

Almost surely, 234276442240 is an apocalyptic number.

It is an amenable number.

34276442240 is an abundant number, since it is smaller than the sum of its proper divisors (47665679020).

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

34276442240 is an equidigital number, since it uses as much as digits as its factorization.

34276442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53556960 (or 53556948 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 38.

The spelling of 34276442240 in words is "thirty-four billion, two hundred seventy-six million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 53556941 107113882 214227764 267784705 428455528 535569410 856911056 1071138820 1713822112 2142277640 3427644224 4284555280 6855288448 8569110560 17138221120 34276442240