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3142064358 = 2364394909
BaseRepresentation
bin1011101101001000…
…0001100011100110
322002222100102000000
42323102001203212
522413332024413
61235441202130
7140602051326
oct27322014346
98088312000
103142064358
111372682504
12738330346
133b0c653a4
1421b427286
15135ca7073
hexbb4818e6

3142064358 has 56 divisors (see below), whose sum is σ = 7083951600. Its totient is φ = 1044756144.

The previous prime is 3142064357. The next prime is 3142064377. The reversal of 3142064358 is 8534602413.

3142064358 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 0 + 643 + 5 + 8 = 666.

It is a super-3 number, since 3×31420643583 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142064357) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 637608 + ... + 642516.

Almost surely, 23142064358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142064358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541975800).

3142064358 is an abundant number, since it is smaller than the sum of its proper divisors (3941887242).

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

3142064358 is an equidigital number, since it uses as much as digits as its factorization.

3142064358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3142064358 is about 56054.1199021089. The cubic root of 3142064358 is about 1464.6651858272.

The spelling of 3142064358 in words is "three billion, one hundred forty-two million, sixty-four thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 439 486 729 878 1317 1458 2634 3951 4909 7902 9818 11853 14727 23706 29454 35559 44181 71118 88362 106677 132543 213354 265086 320031 397629 640062 795258 1192887 2155051 2385774 3578661 4310102 6465153 7157322 12930306 19395459 38790918 58186377 116372754 174559131 349118262 523677393 1047354786 1571032179 3142064358