Search a number
-
+
1003442166 = 232296592917
BaseRepresentation
bin111011110011110…
…100111111110110
32120221011010212200
4323303310333312
54023340122131
6243323125330
733603055236
oct7363647766
92527133780
101003442166
11475464a51
12240073846
1312cb73b7c
14973a5cc6
155d1612e6
hex3bcf4ff6

1003442166 has 48 divisors (see below), whose sum is σ = 2253279600. Its totient is φ = 322346304.

The previous prime is 1003442161. The next prime is 1003442173. The reversal of 1003442166 is 6612443001.

1003442166 is a `hidden beast` number, since 100 + 344 + 216 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003442161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342540 + ... + 345456.

It is an arithmetic number, because the mean of its divisors is an integer number (46943325).

Almost surely, 21003442166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003442166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126639800).

1003442166 is an abundant number, since it is smaller than the sum of its proper divisors (1249837434).

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

1003442166 is a wasteful number, since it uses less digits than its factorization.

1003442166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1003442166 is about 31677.1552700049. The cubic root of 1003442166 is about 1001.1460746777.

Adding to 1003442166 its reverse (6612443001), we get a palindrome (7615885167).

The spelling of 1003442166 in words is "one billion, three million, four hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 659 1318 1977 2917 3954 5834 5931 8751 11862 17502 19111 26253 38222 52506 57333 84593 114666 169186 171999 253779 343998 507558 761337 1522674 1922303 3844606 5766909 11533818 17300727 34601454 55746787 111493574 167240361 334480722 501721083 1003442166