Search a number
-
+
2381008 = 24723037
BaseRepresentation
bin1001000101010011010000
311110222010111
421011103100
51102143013
6123011104
726144500
oct11052320
94428114
102381008
111386983
12969a94
136549a6
1445da00
1532073d
hex2454d0

2381008 has 30 divisors (see below), whose sum is σ = 5368146. Its totient is φ = 1020096.

The previous prime is 2380997. The next prime is 2381011. The reversal of 2381008 is 8001832.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 94864 = 1512^2 + 308^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2381008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 735 + ... + 2302.

22381008 is an apocalyptic number.

2381008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2381008 is an abundant number, since it is smaller than the sum of its proper divisors (2987138).

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

2381008 is a wasteful number, since it uses less digits than its factorization.

2381008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2381008 is about 1543.0515221469. The cubic root of 2381008 is about 133.5324912617.

The spelling of 2381008 in words is "two million, three hundred eighty-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3037 6074 12148 21259 24296 42518 48592 85036 148813 170072 297626 340144 595252 1190504 2381008