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2323008 = 263237109
BaseRepresentation
bin1000110111001001000000
311101000120100
420313021000
51043314013
6121442400
725513422
oct10671100
94330510
102323008
111347346
12940400
1363447c
14446812
1530d473
hex237240

2323008 has 84 divisors (see below), whose sum is σ = 6901180. Its totient is φ = 746496.

The previous prime is 2323003. The next prime is 2323021. The reversal of 2323008 is 8003232.

Added to its reverse (8003232) it gives a triangular number (10326240 = T4544).

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 451584 = 1368^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21258 + ... + 21366.

22323008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450590).

2323008 is an abundant number, since it is smaller than the sum of its proper divisors (4578172).

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

2323008 is a wasteful number, since it uses less digits than its factorization.

2323008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2323008 is about 1524.1417256935. The cubic root of 2323008 is about 132.4393076731.

Adding to 2323008 its reverse (8003232), we get a triangular number (10326240 = T4544).

It can be divided in two parts, 232 and 3008, that added together give a triangular number (3240 = T80).

The spelling of 2323008 in words is "two million, three hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 109 111 144 148 192 218 222 288 296 327 333 436 444 576 592 654 666 872 888 981 1184 1308 1332 1744 1776 1962 2368 2616 2664 3488 3552 3924 4033 5232 5328 6976 7104 7848 8066 10464 10656 12099 15696 16132 20928 21312 24198 31392 32264 36297 48396 62784 64528 72594 96792 129056 145188 193584 258112 290376 387168 580752 774336 1161504 2323008