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2379344 = 241121229
BaseRepresentation
bin1001000100111001010000
311110212211212
421010321100
51102114334
6122555252
726136602
oct11047120
94425755
102379344
111385700
12968b28
13653cc6
1445d172
1531eece
hex244e50

2379344 has 30 divisors (see below), whose sum is σ = 5071290. Its totient is φ = 1080640.

The previous prime is 2379341. The next prime is 2379347. The reversal of 2379344 is 4439732.

It is an interprime number because it is at equal distance from previous prime (2379341) and next prime (2379347).

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 7744 = 1540^2 + 88^2 .

It is a super-2 number, since 2×23793442 = 11322555740672, which contains 22 as substring.

It is a d-powerful number, because it can be written as 221 + 35 + 72 + 9 + 39 + 43 + 49 .

It is a self number, because there is not a number n which added to its sum of digits gives 2379344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2379341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1322 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (169043).

22379344 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 2379344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535645).

2379344 is an abundant number, since it is smaller than the sum of its proper divisors (2691946).

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

2379344 is a wasteful number, since it uses less digits than its factorization.

2379344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1242 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 2379344 is about 1542.5122365803. The cubic root of 2379344 is about 133.5013770098.

The spelling of 2379344 in words is "two million, three hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1229 1936 2458 4916 9832 13519 19664 27038 54076 108152 148709 216304 297418 594836 1189672 2379344