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8434113280 = 28541160711
BaseRepresentation
bin1111101101011011…
…00101101100000000
3210202210021100100221
413312231211230000
5114233113111110
63512524152424
7416001531355
oct76655455400
923683240327
108434113280
11363892315a
121774698714
13a45469998
145a01cc62c
1534569b7da
hex1f6b65b00

8434113280 has 72 divisors (see below), whose sum is σ = 20695205664. Its totient is φ = 3291340800.

The previous prime is 8434113227. The next prime is 8434113283. The reversal of 8434113280 is 823114348.

It is a super-2 number, since 2×84341132802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8434113283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27876 + ... + 132835.

It is an arithmetic number, because the mean of its divisors is an integer number (287433412).

Almost surely, 28434113280 is an apocalyptic number.

8434113280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8434113280 is an abundant number, since it is smaller than the sum of its proper divisors (12261092384).

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

8434113280 is a wasteful number, since it uses less digits than its factorization.

8434113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160773 (or 160759 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 8434113280 is about 91837.4285354288. The cubic root of 8434113280 is about 2035.5407916257.

The spelling of 8434113280 in words is "eight billion, four hundred thirty-four million, one hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 2624 3280 5248 6560 10496 13120 26240 52480 160711 321422 642844 803555 1285688 1607110 2571376 3214220 5142752 6428440 6589151 10285504 12856880 13178302 20571008 25713760 26356604 32945755 41142016 51427520 52713208 65891510 102855040 105426416 131783020 205710080 210852832 263566040 421705664 527132080 843411328 1054264160 1686822656 2108528320 4217056640 8434113280