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444031020 = 223252466839
BaseRepresentation
bin11010011101110…
…110000000101100
31010221112010001100
4122131312000230
51402132443040
6112021043100
714001126036
oct3235660054
91127463040
10444031020
1120870a094
12104856490
1370cb9b64
1442d86c56
1528eaeb30
hex1a77602c

444031020 has 36 divisors (see below), whose sum is σ = 1346894640. Its totient is φ = 118408224.

The previous prime is 444031013. The next prime is 444031033. The reversal of 444031020 is 20130444.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 444030984 and 444031002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233240 + ... + 1233599.

It is an arithmetic number, because the mean of its divisors is an integer number (37413740).

Almost surely, 2444031020 is an apocalyptic number.

It is an amenable number.

444031020 is an abundant number, since it is smaller than the sum of its proper divisors (902863620).

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

444031020 is a wasteful number, since it uses less digits than its factorization.

444031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466854 (or 2466849 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 444031020 is about 21072.0435648752. The cubic root of 444031020 is about 762.9061285357.

Adding to 444031020 its reverse (20130444), we get a palindrome (464161464).

The spelling of 444031020 in words is "four hundred forty-four million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2466839 4933678 7400517 9867356 12334195 14801034 22201551 24668390 29602068 37002585 44403102 49336780 74005170 88806204 111007755 148010340 222015510 444031020