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1243395252 = 2233119371117
BaseRepresentation
bin100101000011100…
…1011010010110100
310012122200000122000
41022013023102310
510021302122002
6323214135300
742545454021
oct11207132264
93178600560
101243395252
11588956290
122a84b1530
1316a7a9548
14bb1c8548
157425d61c
hex4a1cb4b4

1243395252 has 96 divisors (see below), whose sum is σ = 3523578240. Its totient is φ = 376047360.

The previous prime is 1243395191. The next prime is 1243395253. The reversal of 1243395252 is 2525933421.

1243395252 is a `hidden beast` number, since 1 + 243 + 395 + 25 + 2 = 666.

It is a super-2 number, since 2×12433952522 = 3092063505392287008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243395253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112598 + ... + 1113714.

It is an arithmetic number, because the mean of its divisors is an integer number (36703940).

Almost surely, 21243395252 is an apocalyptic number.

1243395252 is a gapful number since it is divisible by the number (12) 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 1243395252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761789120).

1243395252 is an abundant number, since it is smaller than the sum of its proper divisors (2280182988).

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

1243395252 is a wasteful number, since it uses less digits than its factorization.

1243395252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1243395252 is about 35261.8101066862. The cubic root of 1243395252 is about 1075.3167271531.

It can be divided in two parts, 1243 and 395252, that added together give a triangular number (396495 = T890).

The spelling of 1243395252 in words is "one billion, two hundred forty-three million, three hundred ninety-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 937 1117 1188 1874 2234 2811 3351 3748 4468 5622 6702 8433 10053 10307 11244 12287 13404 16866 20106 20614 24574 25299 30159 30921 33732 36861 40212 41228 49148 50598 60318 61842 73722 92763 101196 110583 120636 123684 147444 185526 221166 278289 331749 371052 442332 556578 663498 1046629 1113156 1326996 2093258 3139887 4186516 6279774 9419661 11512919 12559548 18839322 23025838 28258983 34538757 37678644 46051676 56517966 69077514 103616271 113035932 138155028 207232542 310848813 414465084 621697626 1243395252