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244400040 = 233251935731
BaseRepresentation
bin11101001000100…
…11111110101000
3122000212210211100
432210103332220
51000031300130
640130201400
76025236363
oct1644237650
9560783740
10244400040
11115a59405
1269a23260
133b831811
142465d0da
15166c9c60
hexe913fa8

244400040 has 96 divisors (see below), whose sum is σ = 836128800. Its totient is φ = 61741440.

The previous prime is 244400033. The next prime is 244400113. The reversal of 244400040 is 40004442.

It is a happy number.

244400040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2444000404 (a number of 35 digits) contains 4444 as substring.

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 = 244399986 and 244400022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11026 + ... + 24705.

It is an arithmetic number, because the mean of its divisors is an integer number (8709675).

Almost surely, 2244400040 is an apocalyptic number.

244400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244400040 is an abundant number, since it is smaller than the sum of its proper divisors (591728760).

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

244400040 is a wasteful number, since it uses less digits than its factorization.

244400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35767 (or 35760 counting only the distinct ones).

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

The square root of 244400040 is about 15633.2990760108. The cubic root of 244400040 is about 625.2212891072.

Adding to 244400040 its reverse (40004442), we get a palindrome (284404482).

The spelling of 244400040 in words is "two hundred forty-four million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 35731 71462 107193 142924 178655 214386 285848 321579 357310 428772 535965 643158 678889 714620 857544 1071930 1286316 1357778 1429240 1607895 2036667 2143860 2572632 2715556 3215790 3394445 4073334 4287720 5431112 6110001 6431580 6788890 8146668 10183335 12220002 12863160 13577780 16293336 20366670 24440004 27155560 30550005 40733340 48880008 61100010 81466680 122200020 244400040