Search a number
-
+
444060240 = 243513142327
BaseRepresentation
bin11010011101111…
…101001001010000
31010221120121010120
4122131331021100
51402134411430
6112021430240
714001310161
oct3235751120
91127517116
10444060240
1120872a038
1210486b380
1370cca250
1442d93768
1528eb8610
hex1a77d250

444060240 has 80 divisors (see below), whose sum is σ = 1482488448. Its totient is φ = 109306368.

The previous prime is 444060203. The next prime is 444060251. The reversal of 444060240 is 42060444.

It is a tau number, because it is divible by the number of its divisors (80).

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 444060240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68044 + ... + 74283.

Almost surely, 2444060240 is an apocalyptic number.

444060240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444060240 is an abundant number, since it is smaller than the sum of its proper divisors (1038428208).

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

444060240 is a wasteful number, since it uses less digits than its factorization.

444060240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142356 (or 142350 counting only the distinct ones).

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

The square root of 444060240 is about 21072.7368891656. The cubic root of 444060240 is about 762.9228628231.

The spelling of 444060240 in words is "four hundred forty-four million, sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 142327 284654 426981 569308 711635 853962 1138616 1423270 1707924 1850251 2134905 2277232 2846540 3415848 3700502 4269810 5550753 5693080 6831696 7401004 8539620 9251255 11101506 11386160 14802008 17079240 18502510 22203012 27753765 29604016 34158480 37005020 44406024 55507530 74010040 88812048 111015060 148020080 222030120 444060240