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1244031240 = 2335311372441
BaseRepresentation
bin100101000100110…
…0110100100001000
310012200212100001010
41022021212210020
510021432444430
6323235523520
742554043144
oct11211464410
93180770033
101244031240
115892500a1
122a87595a0
1316a96cb7a
14bb312224
1574336cb0
hex4a266908

1244031240 has 128 divisors (see below), whose sum is σ = 3882193920. Its totient is φ = 318566400.

The previous prime is 1244031221. The next prime is 1244031259. The reversal of 1244031240 is 421304421.

It is an interprime number because it is at equal distance from previous prime (1244031221) and next prime (1244031259).

It is a super-2 number, since 2×12440312402 = 3095227452191875200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508420 + ... + 510860.

It is an arithmetic number, because the mean of its divisors is an integer number (30329640).

Almost surely, 21244031240 is an apocalyptic number.

1244031240 is a gapful number since it is divisible by the number (10) 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 1244031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941096960).

1244031240 is an abundant number, since it is smaller than the sum of its proper divisors (2638162680).

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

1244031240 is a wasteful number, since it uses less digits than its factorization.

1244031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1244031240 is about 35270.8270387866. The cubic root of 1244031240 is about 1075.5000349053.

Adding to 1244031240 its reverse (421304421), we get a palindrome (1665335661).

The spelling of 1244031240 in words is "one billion, two hundred forty-four million, thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 137 155 186 248 274 310 372 411 465 548 620 685 744 822 930 1096 1240 1370 1644 1860 2055 2441 2740 3288 3720 4110 4247 4882 5480 7323 8220 8494 9764 12205 12741 14646 16440 16988 19528 21235 24410 25482 29292 33976 36615 42470 48820 50964 58584 63705 73230 75671 84940 97640 101928 127410 146460 151342 169880 227013 254820 292920 302684 334417 378355 454026 509640 605368 668834 756710 908052 1003251 1135065 1337668 1513420 1672085 1816104 2006502 2270130 2675336 3026840 3344170 4013004 4540260 5016255 6688340 8026008 9080520 10032510 10366927 13376680 20065020 20733854 31100781 40130040 41467708 51834635 62201562 82935416 103669270 124403124 155503905 207338540 248806248 311007810 414677080 622015620 1244031240