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442323040 = 25519145501
BaseRepresentation
bin11010010111010…
…101000001100000
31010211022100010211
4122113111001200
51401213314130
6111520303504
713650453355
oct3227250140
91124270124
10442323040
11207752935
12104171b94
137083c613
1442a6062c
1528c73a2a
hex1a5d5060

442323040 has 48 divisors (see below), whose sum is σ = 1099995120. Its totient is φ = 167616000.

The previous prime is 442323029. The next prime is 442323041. The reversal of 442323040 is 40323244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442323041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69711 + ... + 75790.

It is an arithmetic number, because the mean of its divisors is an integer number (22916565).

Almost surely, 2442323040 is an apocalyptic number.

442323040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442323040 is an abundant number, since it is smaller than the sum of its proper divisors (657672080).

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

442323040 is a wasteful number, since it uses less digits than its factorization.

442323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145535 (or 145527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 442323040 is about 21031.4773613268. The cubic root of 442323040 is about 761.9266904304.

Adding to 442323040 its reverse (40323244), we get a palindrome (482646284).

The spelling of 442323040 in words is "four hundred forty-two million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 145501 291002 582004 727505 1164008 1455010 2328016 2764519 2910020 4656032 5529038 5820040 11058076 11640080 13822595 22116152 23280160 27645190 44232304 55290380 88464608 110580760 221161520 442323040