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34102478300 = 225211101306953
BaseRepresentation
bin11111110000101010…
…101000010111011100
310021000122211101121212
4133300222220113130
51024320213301200
623355542243552
72315043165662
oct376052502734
9107018741555
1034102478300
111350aa61770
126738a265b8
1332a62b7357
141917236c32
15d48d93035
hex7f0aa85dc

34102478300 has 72 divisors (see below), whose sum is σ = 81529438032. Its totient is φ = 12278080000.

The previous prime is 34102478279. The next prime is 34102478309. The reversal of 34102478300 is 387420143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102478309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42377 + ... + 264576.

It is an arithmetic number, because the mean of its divisors is an integer number (1132353306).

Almost surely, 234102478300 is an apocalyptic number.

It is an amenable number.

34102478300 is an abundant number, since it is smaller than the sum of its proper divisors (47426959732).

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

34102478300 is a wasteful number, since it uses less digits than its factorization.

34102478300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307079 (or 307072 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 34102478300 its reverse (387420143), we get a palindrome (34489898443).

The spelling of 34102478300 in words is "thirty-four billion, one hundred two million, four hundred seventy-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 306953 613906 1227812 1534765 3069530 3376483 6139060 6752966 7673825 13505932 15347650 16882415 30695300 31002253 33764830 62004506 67529660 84412075 124009012 155011265 168824150 310022530 337648300 341024783 620045060 682049566 775056325 1364099132 1550112650 1705123915 3100225300 3410247830 6820495660 8525619575 17051239150 34102478300