Search a number
-
+
244141040 = 245111321341
BaseRepresentation
bin11101000110101…
…00101111110000
3122000101122112202
432203110233300
51000000003130
640120442332
76023110313
oct1643245760
9560348482
10244141040
111158a1860
12699193a8
133b770970
14245d297a
1516678145
hexe8d4bf0

244141040 has 80 divisors (see below), whose sum is σ = 666894816. Its totient is φ = 81945600.

The previous prime is 244140991. The next prime is 244141049. The reversal of 244141040 is 40141442.

It is a happy number.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244141049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770 + ... + 22110.

Almost surely, 2244141040 is an apocalyptic number.

244141040 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 244141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333447408).

244141040 is an abundant number, since it is smaller than the sum of its proper divisors (422753776).

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

244141040 is a wasteful number, since it uses less digits than its factorization.

244141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21378 (or 21372 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 244141040 is about 15625.0132799944. The cubic root of 244141040 is about 625.0003541331. Note that the first 3 decimals are identical.

Adding to 244141040 its reverse (40141442), we get a palindrome (284282482).

The spelling of 244141040 in words is "two hundred forty-four million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 21341 42682 85364 106705 170728 213410 234751 277433 341456 426820 469502 554866 853640 939004 1109732 1173755 1387165 1707280 1878008 2219464 2347510 2774330 3051763 3756016 4438928 4695020 5548660 6103526 9390040 11097320 12207052 15258815 18780080 22194640 24414104 30517630 48828208 61035260 122070520 244141040