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2240384 = 2723761
BaseRepresentation
bin1000100010111110000000
311012211020012
420202332000
51033143014
6120004052
725020506
oct10427600
94184205
102240384
1112a0263
12900628
13605993
14424676
152e3c3e
hex222f80

2240384 has 32 divisors (see below), whose sum is σ = 4663440. Its totient is φ = 1070080.

The previous prime is 2240377. The next prime is 2240389. The reversal of 2240384 is 4830422.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240389) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2564 + ... + 3324.

22240384 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 2240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331720).

2240384 is an abundant number, since it is smaller than the sum of its proper divisors (2423056).

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

2240384 is an equidigital number, since it uses as much as digits as its factorization.

2240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2240384 is about 1496.7912346082. The cubic root of 2240384 is about 130.8501287033.

The spelling of 2240384 in words is "two million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 761 1472 1522 2944 3044 6088 12176 17503 24352 35006 48704 70012 97408 140024 280048 560096 1120192 2240384