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8430000348 = 22371116754631
BaseRepresentation
bin1111101100111011…
…11001100011011100
3210202111112101111010
413312131321203130
5114231040002343
63512300055220
7415621551330
oct76635714334
923674471433
108430000348
113636574040
121773234510
13a446598b3
1459d83b7c0
15345137d33
hex1f67798dc

8430000348 has 96 divisors (see below), whose sum is σ = 24670937088. Its totient is φ = 2176459200.

The previous prime is 8430000331. The next prime is 8430000391.

8430000348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84300003482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126993 + ... + 181623.

It is an arithmetic number, because the mean of its divisors is an integer number (256988928).

Almost surely, 28430000348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8430000348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335468544).

8430000348 is an abundant number, since it is smaller than the sum of its proper divisors (16240936740).

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

8430000348 is a wasteful number, since it uses less digits than its factorization.

8430000348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54823 (or 54821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8430000348 is about 91815.0333442187. The cubic root of 8430000348 is about 2035.2098577212.

It can be divided in two parts, 8430000 and 348, that added together give a palindrome (8430348).

The spelling of 8430000348 in words is "eight billion, four hundred thirty million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 167 231 308 334 462 501 668 924 1002 1169 1837 2004 2338 3507 3674 4676 5511 7014 7348 11022 12859 14028 22044 25718 38577 51436 54631 77154 109262 154308 163893 218524 327786 382417 600941 655572 764834 1147251 1201882 1529668 1802823 2294502 2403764 3605646 4206587 4589004 7211292 8413174 9123377 12619761 16826348 18246754 25239522 27370131 36493508 50479044 54740262 63863639 100357147 109480524 127727278 191590917 200714294 255454556 301071441 383181834 401428588 602142882 702500029 766363668 1204285764 1405000058 2107500087 2810000116 4215000174 8430000348