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1244354304 = 28317191499
BaseRepresentation
bin100101000101011…
…0101011100000000
310012201110202012110
41022022311130000
510022023314204
6323250455320
742556560054
oct11212653400
93181422173
101244354304
11589450896
122a8894540
1316aa53c2b
14bb397c64
157439c889
hex4a2b5700

1244354304 has 144 divisors (see below), whose sum is σ = 3532032000. Its totient is φ = 387563520.

The previous prime is 1244354297. The next prime is 1244354341. The reversal of 1244354304 is 4034534421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2493447 + ... + 2493945.

It is an arithmetic number, because the mean of its divisors is an integer number (24528000).

Almost surely, 21244354304 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 1244354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766016000).

1244354304 is an abundant number, since it is smaller than the sum of its proper divisors (2287677696).

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

1244354304 is a wasteful number, since it uses less digits than its factorization.

1244354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 1244354304 is about 35275.4065036819. The cubic root of 1244354304 is about 1075.5931261556.

Adding to 1244354304 its reverse (4034534421), we get a palindrome (5278888725).

The spelling of 1244354304 in words is "one billion, two hundred forty-four million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 191 192 204 256 272 382 384 408 499 544 573 764 768 816 998 1088 1146 1497 1528 1632 1996 2176 2292 2994 3056 3247 3264 3992 4352 4584 5988 6112 6494 6528 7984 8483 9168 9741 11976 12224 12988 13056 15968 16966 18336 19482 23952 24448 25449 25976 31936 33932 36672 38964 47904 48896 50898 51952 63872 67864 73344 77928 95309 95808 101796 103904 127744 135728 146688 155856 190618 191616 203592 207808 271456 285927 311712 381236 383232 407184 415616 542912 571854 623424 762472 814368 831232 1085824 1143708 1246848 1524944 1620253 1628736 2171648 2287416 2493696 3049888 3240506 3257472 4574832 4860759 6099776 6481012 6514944 9149664 9721518 12199552 12962024 18299328 19443036 24399104 25924048 36598656 38886072 51848096 73197312 77772144 103696192 155544288 207392384 311088576 414784768 622177152 1244354304