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1244232240 = 243529533373
BaseRepresentation
bin100101000101001…
…0111101000110000
310012201020112202120
41022022113220300
510022010412430
6323244114240
742555541146
oct11212275060
93181215676
101244232240
11589378109
122a8835980
1316aa104c4
14bb365596
1574376610
hex4a297a30

1244232240 has 160 divisors (see below), whose sum is σ = 4066614720. Its totient is φ = 314216448.

The previous prime is 1244232217. The next prime is 1244232257. The reversal of 1244232240 is 422324421.

It is a super-3 number, since 3×12442322403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1244232240.

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 31 ways as a sum of consecutive naturals, for example, 367194 + ... + 370566.

It is an arithmetic number, because the mean of its divisors is an integer number (25416342).

Almost surely, 21244232240 is an apocalyptic number.

1244232240 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 1244232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033307360).

1244232240 is an abundant number, since it is smaller than the sum of its proper divisors (2822382480).

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

1244232240 is a wasteful number, since it uses less digits than its factorization.

1244232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3465 counting only the distinct ones).

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

The square root of 1244232240 is about 35273.6763040089. The cubic root of 1244232240 is about 1075.5579551725.

Adding to 1244232240 its reverse (422324421), we get a palindrome (1666556661).

The spelling of 1244232240 in words is "one billion, two hundred forty-four million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 53 58 60 80 87 106 116 120 145 159 174 212 232 240 265 290 318 348 424 435 464 530 580 636 696 795 848 870 1060 1160 1272 1392 1537 1590 1740 2120 2320 2544 3074 3180 3373 3480 4240 4611 6148 6360 6746 6960 7685 9222 10119 12296 12720 13492 15370 16865 18444 20238 23055 24592 26984 30740 33730 36888 40476 46110 50595 53968 61480 67460 73776 80952 92220 97817 101190 122960 134920 161904 178769 184440 195634 202380 269840 293451 357538 368880 391268 404760 489085 536307 586902 715076 782536 809520 893845 978170 1072614 1173804 1430152 1467255 1565072 1787690 1956340 2145228 2347608 2681535 2860304 2934510 3575380 3912680 4290456 4695216 5184301 5363070 5869020 7150760 7825360 8580912 10368602 10726140 11738040 14301520 15552903 20737204 21452280 23476080 25921505 31105806 41474408 42904560 51843010 62211612 77764515 82948816 103686020 124423224 155529030 207372040 248846448 311058060 414744080 622116120 1244232240