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34303100112 = 2432534494641
BaseRepresentation
bin11111111100100111…
…111100010011010000
310021112122100001000100
4133330213330103100
51030223043200422
623431510252400
72323030353141
oct377447742320
9107478301010
1034303100112
1113603229916
126794057100
133308a2b698
141935b3bac8
15d5b7c17ac
hex7fc9fc4d0

34303100112 has 60 divisors (see below), whose sum is σ = 97812399204. Its totient is φ = 11218621440.

The previous prime is 34303100101. The next prime is 34303100119. The reversal of 34303100112 is 21100130343.

34303100112 is a `hidden beast` number, since 343 + 0 + 310 + 0 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13849523856 + 20453576256 = 117684^2 + 143016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34303100119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2239689 + ... + 2254952.

Almost surely, 234303100112 is an apocalyptic number.

It is an amenable number.

34303100112 is an abundant number, since it is smaller than the sum of its proper divisors (63509299092).

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

34303100112 is a wasteful number, since it uses less digits than its factorization.

34303100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494708 (or 4494699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 34303100112 its reverse (21100130343), we get a palindrome (55403230455).

The spelling of 34303100112 in words is "thirty-four billion, three hundred three million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 4494641 8989282 13483923 17978564 26967846 35957128 40451769 53935692 71914256 80903538 107871384 161807076 215742768 238215973 323614152 476431946 647228304 714647919 952863892 1429295838 1905727784 2143943757 2858591676 3811455568 4287887514 5717183352 8575775028 11434366704 17151550056 34303100112