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2380464 = 243261271
BaseRepresentation
bin1001000101001010110000
311110221101100
421011022300
51102133324
6123004400
726143062
oct11051260
94427340
102380464
111386529
12969700
13654678
1445d732
153204c9
hex2452b0

2380464 has 60 divisors (see below), whose sum is σ = 6796192. Its totient is φ = 777600.

The previous prime is 2380463. The next prime is 2380471. The reversal of 2380464 is 4640832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380463) 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, 8649 + ... + 8919.

22380464 is an apocalyptic number.

2380464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398096).

2380464 is an abundant number, since it is smaller than the sum of its proper divisors (4415728).

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

2380464 is a wasteful number, since it uses less digits than its factorization.

2380464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2380464 is about 1542.8752379891. The cubic root of 2380464 is about 133.5223208901.

The spelling of 2380464 in words is "two million, three hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 271 366 488 542 549 732 813 976 1084 1098 1464 1626 2168 2196 2439 2928 3252 4336 4392 4878 6504 8784 9756 13008 16531 19512 33062 39024 49593 66124 99186 132248 148779 198372 264496 297558 396744 595116 793488 1190232 2380464