Search a number
-
+
1046334993 = 311291676547
BaseRepresentation
bin111110010111011…
…100111000010001
32200220212022202220
4332113130320101
54120330204433
6251454331253
734633462224
oct7627347021
92626768686
101046334993
114976a0a70
122524b9b29
13138a11342
149cd6d5bb
1561cd52b3
hex3e5dce11

1046334993 has 32 divisors (see below), whose sum is σ = 1584092160. Its totient is φ = 608516160.

The previous prime is 1046334977. The next prime is 1046335007. The reversal of 1046334993 is 3994336401.

It is not a de Polignac number, because 1046334993 - 24 = 1046334977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1046334943) 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 31 ways as a sum of consecutive naturals, for example, 156546 + ... + 163092.

It is an arithmetic number, because the mean of its divisors is an integer number (49502880).

Almost surely, 21046334993 is an apocalyptic number.

It is an amenable number.

1046334993 is a deficient number, since it is larger than the sum of its proper divisors (537757167).

1046334993 is a wasteful number, since it uses less digits than its factorization.

1046334993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757.

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 1046334993 is about 32347.1017712561. The cubic root of 1046334993 is about 1015.2124068723.

The spelling of 1046334993 in words is "one billion, forty-six million, three hundred thirty-four thousand, nine hundred ninety-three".

Divisors: 1 3 11 29 33 87 167 319 501 957 1837 4843 5511 6547 14529 19641 53273 72017 159819 189863 216051 569589 1093349 2088493 3280047 6265479 12026839 31707121 36080517 95121363 348778331 1046334993