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34541314240 = 265359300673
BaseRepresentation
bin100000001010110100…
…101010000011000000
310022011020120120100211
4200022310222003000
51031220034023430
623511300123504
72331652220026
oct401264520300
9108136516324
1034541314240
11137157426a4
12683b996594
1333461a56a4
14195962a716
15d7267872a
hex80ad2a0c0

34541314240 has 56 divisors (see below), whose sum is σ = 82480891680. Its totient is φ = 13777993728.

The previous prime is 34541314237. The next prime is 34541314243. The reversal of 34541314240 is 4241314543.

It is an interprime number because it is at equal distance from previous prime (34541314237) and next prime (34541314243).

It is not an unprimeable number, because it can be changed into a prime (34541314243) 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 7 ways as a sum of consecutive naturals, for example, 35457 + ... + 265216.

Almost surely, 234541314240 is an apocalyptic number.

It is an amenable number.

34541314240 is an abundant number, since it is smaller than the sum of its proper divisors (47939577440).

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

34541314240 is a wasteful number, since it uses less digits than its factorization.

34541314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301049 (or 301039 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 34541314240 its reverse (4241314543), we get a palindrome (38782628783).

The spelling of 34541314240 in words is "thirty-four billion, five hundred forty-one million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 359 718 1436 1795 2872 3590 5744 7180 11488 14360 22976 28720 57440 114880 300673 601346 1202692 1503365 2405384 3006730 4810768 6013460 9621536 12026920 19243072 24053840 48107680 96215360 107941607 215883214 431766428 539708035 863532856 1079416070 1727065712 2158832140 3454131424 4317664280 6908262848 8635328560 17270657120 34541314240