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8340354378 = 23542140763
BaseRepresentation
bin1111100010001111…
…11011010101001010
3210112020211220100000
413301013323111022
5114040112320003
63455334423430
7413452561656
oct76107732512
923466756300
108340354378
11359aa04764
121749201b76
13a2bbccb45
14591983a66
1533c32b1a3
hex1f11fb54a

8340354378 has 48 divisors (see below), whose sum is σ = 18785029536. Its totient is φ = 2773446480.

The previous prime is 8340354353. The next prime is 8340354397. The reversal of 8340354378 is 8734530438.

8340354378 is a `hidden beast` number, since 8 + 34 + 0 + 3 + 543 + 78 = 666.

It is a super-2 number, since 2×83403543782 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 184225 + ... + 224987.

It is an arithmetic number, because the mean of its divisors is an integer number (391354782).

Almost surely, 28340354378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8340354378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9392514768).

8340354378 is an abundant number, since it is smaller than the sum of its proper divisors (10444675158).

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

8340354378 is a wasteful number, since it uses less digits than its factorization.

8340354378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41201 (or 41189 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 8340354378 is about 91325.5406663437. The cubic root of 8340354378 is about 2027.9698841857.

The spelling of 8340354378 in words is "eight billion, three hundred forty million, three hundred fifty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 421 486 842 1263 2526 3789 7578 11367 22734 34101 40763 68202 81526 102303 122289 204606 244578 366867 733734 1100601 2201202 3301803 6603606 9905409 17161223 19810818 34322446 51483669 102967338 154451007 308902014 463353021 926706042 1390059063 2780118126 4170177189 8340354378