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2380320 = 253351929
BaseRepresentation
bin1001000101001000100000
311110221012000
421011020200
51102132240
6123004000
726142465
oct11051040
94427160
102380320
111386408
12969600
13654597
1445d66c
15320430
hex245220

2380320 has 192 divisors, whose sum is σ = 9072000. Its totient is φ = 580608.

The previous prime is 2380303. The next prime is 2380333. The reversal of 2380320 is 230832.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2380293 and 2380302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82066 + ... + 82094.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

22380320 is an apocalyptic number.

2380320 is a gapful number since it is divisible by the number (20) 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 2380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

2380320 is an abundant number, since it is smaller than the sum of its proper divisors (6691680).

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

2380320 is a wasteful number, since it uses less digits than its factorization.

2380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

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

The square root of 2380320 is about 1542.8285711640. The cubic root of 2380320 is about 133.5196284736.

The spelling of 2380320 in words is "two million, three hundred eighty thousand, three hundred twenty".