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244034120 = 235111513673
BaseRepresentation
bin11101000101110…
…10101001001000
3122000012012212202
432202322221020
5444433042440
640114255332
76022153511
oct1642725110
9560165782
10244034120
111158294a0
1269887548
133b7340b5
14245a5a08
1516656615
hexe8baa48

244034120 has 64 divisors (see below), whose sum is σ = 603123840. Its totient is φ = 88128000.

The previous prime is 244034113. The next prime is 244034177. The reversal of 244034120 is 21430442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 244034092 and 244034101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64604 + ... + 68276.

It is an arithmetic number, because the mean of its divisors is an integer number (9423810).

Almost surely, 2244034120 is an apocalyptic number.

244034120 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 244034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301561920).

244034120 is an abundant number, since it is smaller than the sum of its proper divisors (359089720).

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

244034120 is a wasteful number, since it uses less digits than its factorization.

244034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 244034120 is about 15621.5914682212. The cubic root of 244034120 is about 624.9091025142.

Adding to 244034120 its reverse (21430442), we get a palindrome (265464562).

The spelling of 244034120 in words is "two hundred forty-four million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 3020 3322 3673 6040 6644 7346 8305 13288 14692 16610 18365 29384 33220 36730 40403 66440 73460 80806 146920 161612 202015 323224 404030 554623 808060 1109246 1616120 2218492 2773115 4436984 5546230 6100853 11092460 12201706 22184920 24403412 30504265 48806824 61008530 122017060 244034120