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244342540 = 225131396761
BaseRepresentation
bin11101001000001…
…01111100001100
3122000202212221201
432210011330030
51000022430130
640125035244
76024606631
oct1644057414
9560685851
10244342540
11115a1a192
12699b5b24
133b8115b0
1424646188
15166b7bca
hexe905f0c

244342540 has 48 divisors (see below), whose sum is σ = 556647840. Its totient is φ = 89556480.

The previous prime is 244342537. The next prime is 244342559. The reversal of 244342540 is 45243442.

It is a super-3 number, since 3×2443425403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244342499 and 244342508.

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, 32760 + ... + 39520.

It is an arithmetic number, because the mean of its divisors is an integer number (11596830).

Almost surely, 2244342540 is an apocalyptic number.

244342540 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 244342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278323920).

244342540 is an abundant number, since it is smaller than the sum of its proper divisors (312305300).

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

244342540 is a wasteful number, since it uses less digits than its factorization.

244342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6920 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 244342540 is about 15631.4599446117. The cubic root of 244342540 is about 625.1722533217.

Adding to 244342540 its reverse (45243442), we get a palindrome (289585982).

The spelling of 244342540 in words is "two hundred forty-four million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 6761 7228 9035 13522 18070 27044 33805 36140 67610 87893 135220 175786 351572 439465 878930 939779 1757860 1879558 3759116 4698895 9397790 12217127 18795580 24434254 48868508 61085635 122171270 244342540