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1244375424 = 27328291303
BaseRepresentation
bin100101000101011…
…1010100110000000
310012201111211011200
41022022322212000
510022030003144
6323251141200
742560005455
oct11212724600
93181454150
101244375424
11589465746
122a88a4800
1316aa60726
14bb3a182c
15743a3c69
hex4a2ba980

1244375424 has 96 divisors (see below), whose sum is σ = 3587890800. Its totient is φ = 413973504.

The previous prime is 1244375423. The next prime is 1244375441. The reversal of 1244375424 is 4245734421.

1244375424 is a `hidden beast` number, since 1 + 244 + 375 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (1244375423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954357 + ... + 955659.

Almost surely, 21244375424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793945400).

1244375424 is an abundant number, since it is smaller than the sum of its proper divisors (2343515376).

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

1244375424 is a wasteful number, since it uses less digits than its factorization.

1244375424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2137 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 1244375424 is about 35275.7058611164. The cubic root of 1244375424 is about 1075.5992113459.

The spelling of 1244375424 in words is "one billion, two hundred forty-four million, three hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 829 1152 1303 1658 2487 2606 3316 3909 4974 5212 6632 7461 7818 9948 10424 11727 13264 14922 15636 19896 20848 23454 26528 29844 31272 39792 41696 46908 53056 59688 62544 79584 83392 93816 106112 119376 125088 159168 166784 187632 238752 250176 318336 375264 477504 500352 750528 955008 1080187 1501056 2160374 3240561 4320748 6481122 8641496 9721683 12962244 17282992 19443366 25924488 34565984 38886732 51848976 69131968 77773464 103697952 138263936 155546928 207395904 311093856 414791808 622187712 1244375424