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244414040 = 235131273701
BaseRepresentation
bin11101001000101…
…11011001011000
3122000220112000212
432210113121120
51000032222130
640130350252
76025325243
oct1644273130
9560815025
10244414040
11115a68982
1269a2b388
133b837cc0
142466425a
15166cde95
hexe917658

244414040 has 64 divisors (see below), whose sum is σ = 597058560. Its totient is φ = 89510400.

The previous prime is 244414039. The next prime is 244414063. The reversal of 244414040 is 40414442.

244414040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244413997 and 244414015.

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, 64190 + ... + 67890.

It is an arithmetic number, because the mean of its divisors is an integer number (9329040).

Almost surely, 2244414040 is an apocalyptic number.

244414040 is a gapful number since it is divisible by the number (20) 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 244414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298529280).

244414040 is an abundant number, since it is smaller than the sum of its proper divisors (352644520).

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

244414040 is a wasteful number, since it uses less digits than its factorization.

244414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 244414040 is about 15633.7468317739. The cubic root of 244414040 is about 625.2332270907.

Adding to 244414040 its reverse (40414442), we get a palindrome (284828482).

The spelling of 244414040 in words is "two hundred forty-four million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1270 1651 2540 3302 3701 5080 6604 7402 8255 13208 14804 16510 18505 29608 33020 37010 48113 66040 74020 96226 148040 192452 240565 384904 470027 481130 940054 962260 1880108 1924520 2350135 3760216 4700270 6110351 9400540 12220702 18801080 24441404 30551755 48882808 61103510 122207020 244414040