Search a number
-
+
1006284378 = 231122368371
BaseRepresentation
bin111011111110101…
…010111001011010
32121010111112122210
4323332222321122
54030102100003
6243504055550
733636163461
oct7376527132
92533445583
101006284378
11477026390
122410045b6
1313062a758
14979059d8
155d523503
hex3bfaae5a

1006284378 has 32 divisors (see below), whose sum is σ = 2205407232. Its totient is φ = 303562800.

The previous prime is 1006284371. The next prime is 1006284379. The reversal of 1006284378 is 8734826001.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1006284371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19468 + ... + 48903.

It is an arithmetic number, because the mean of its divisors is an integer number (68918976).

Almost surely, 21006284378 is an apocalyptic number.

1006284378 is an abundant number, since it is smaller than the sum of its proper divisors (1199122854).

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

1006284378 is a wasteful number, since it uses less digits than its factorization.

1006284378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68610.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1006284378 is about 31721.9857196866. The cubic root of 1006284378 is about 1002.0904197669.

The spelling of 1006284378 in words is "one billion, six million, two hundred eighty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 223 446 669 1338 2453 4906 7359 14718 68371 136742 205113 410226 752081 1504162 2256243 4512486 15246733 30493466 45740199 91480398 167714063 335428126 503142189 1006284378