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444002040 = 23335411113
BaseRepresentation
bin11010011101101…
…110111011111000
31010221110122022000
4122131232323320
51402131031130
6112020301000
714000645406
oct3235567370
91127418260
10444002040
1120869a339
12104841760
1370ca9901
1442d7a476
1528ea6260
hex1a76eef8

444002040 has 64 divisors (see below), whose sum is σ = 1480010400. Its totient is φ = 118400256.

The previous prime is 444002023. The next prime is 444002071. The reversal of 444002040 is 40200444.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204477 + ... + 206636.

Almost surely, 2444002040 is an apocalyptic number.

444002040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444002040 is an abundant number, since it is smaller than the sum of its proper divisors (1036008360).

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

444002040 is a wasteful number, since it uses less digits than its factorization.

444002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411133 (or 411123 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444002040 is about 21071.3559127077. The cubic root of 444002040 is about 762.8895309711.

Adding to 444002040 its reverse (40200444), we get a palindrome (484202484).

The spelling of 444002040 in words is "four hundred forty-four million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 411113 822226 1233339 1644452 2055565 2466678 3288904 3700017 4111130 4933356 6166695 7400034 8222260 9866712 11100051 12333390 14800068 16444520 18500085 22200102 24666780 29600136 37000170 44400204 49333560 55500255 74000340 88800408 111000510 148000680 222001020 444002040