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444341040 = 243511313107
BaseRepresentation
bin11010011111000…
…001101100110000
31010222002212022120
4122133001230300
51402222403130
6112031434240
714003556633
oct3237015460
91128085276
10444341040
11208901000
12104985980
1371097cc0
1443027c1a
1529021910
hex1a7c1b30

444341040 has 320 divisors, whose sum is σ = 1646894592. Its totient is φ = 98503680.

The previous prime is 444341039. The next prime is 444341041. The reversal of 444341040 is 40143444.

It is an interprime number because it is at equal distance from previous prime (444341039) and next prime (444341041).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 444341040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444341041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4152667 + ... + 4152773.

Almost surely, 2444341040 is an apocalyptic number.

444341040 is a gapful number since it is divisible by the number (40) 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 444341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823447296).

444341040 is an abundant number, since it is smaller than the sum of its proper divisors (1202553552).

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

444341040 is a wasteful number, since it uses less digits than its factorization.

444341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444341040 is about 21079.3984733910. The cubic root of 444341040 is about 763.0836395082.

Adding to 444341040 its reverse (40143444), we get a palindrome (484484484).

The spelling of 444341040 in words is "four hundred forty-four million, three hundred forty-one thousand, forty".