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244341420 = 223523593001
BaseRepresentation
bin11101001000001…
…01101010101100
3122000202211102020
432210011222230
51000022411140
640125030140
76024603441
oct1644055254
9560684366
10244341420
11115a19364
12699b5350
133b810c2b
14246459c8
15166b76d0
hexe905aac

244341420 has 96 divisors (see below), whose sum is σ = 726243840. Its totient is φ = 61248000.

The previous prime is 244341413. The next prime is 244341421. The reversal of 244341420 is 24143442.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (244341421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79920 + ... + 82920.

It is an arithmetic number, because the mean of its divisors is an integer number (7565040).

Almost surely, 2244341420 is an apocalyptic number.

244341420 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 244341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363121920).

244341420 is an abundant number, since it is smaller than the sum of its proper divisors (481902420).

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

244341420 is a wasteful number, since it uses less digits than its factorization.

244341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3093 counting only the distinct ones).

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

The square root of 244341420 is about 15631.4241193821. The cubic root of 244341420 is about 625.1712981135.

Adding to 244341420 its reverse (24143442), we get a palindrome (268484862).

The spelling of 244341420 in words is "two hundred forty-four million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 69 92 115 118 138 177 230 236 276 295 345 354 460 590 690 708 885 1180 1357 1380 1770 2714 3001 3540 4071 5428 6002 6785 8142 9003 12004 13570 15005 16284 18006 20355 27140 30010 36012 40710 45015 60020 69023 81420 90030 138046 177059 180060 207069 276092 345115 354118 414138 531177 690230 708236 828276 885295 1035345 1062354 1380460 1770590 2070690 2124708 2655885 3541180 4072357 4141380 5311770 8144714 10623540 12217071 16289428 20361785 24434142 40723570 48868284 61085355 81447140 122170710 244341420