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1145307408 = 243717434663
BaseRepresentation
bin100010001000100…
…0000000100010000
32221211002122101220
41010101000010100
54321144314113
6305351525040
740244644440
oct10421000420
92854078356
101145307408
11538550453
1227b689780
131533851bb
14ac174120
156a835523
hex44440110

1145307408 has 160 divisors (see below), whose sum is σ = 3664336896. Its totient is φ = 300754944.

The previous prime is 1145307347. The next prime is 1145307419. The reversal of 1145307408 is 8047035411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243285 + ... + 247947.

Almost surely, 21145307408 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 1145307408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832168448).

1145307408 is an abundant number, since it is smaller than the sum of its proper divisors (2519029488).

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

1145307408 is a wasteful number, since it uses less digits than its factorization.

1145307408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1145307408 is about 33842.3906956941. The cubic root of 1145307408 is about 1046.2625729002.

The spelling of 1145307408 in words is "one billion, one hundred forty-five million, three hundred seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 43 48 51 56 68 84 86 102 112 119 129 136 168 172 204 238 258 272 301 336 344 357 408 476 516 602 688 714 731 816 903 952 1032 1204 1428 1462 1806 1904 2064 2193 2408 2856 2924 3612 4386 4663 4816 5117 5712 5848 7224 8772 9326 10234 11696 13989 14448 15351 17544 18652 20468 27978 30702 32641 35088 37304 40936 55956 61404 65282 74608 79271 81872 97923 111912 122808 130564 158542 195846 200509 223824 237813 245616 261128 317084 391692 401018 475626 522256 554897 601527 634168 783384 802036 951252 1109794 1203054 1268336 1403563 1566768 1604072 1664691 1902504 2219588 2406108 2807126 3208144 3329382 3408653 3805008 4210689 4439176 4812216 5614252 6658764 6817306 8421378 8878352 9624432 10225959 11228504 13317528 13634612 16842756 20451918 22457008 23860571 26635056 27269224 33685512 40903836 47721142 54538448 67371024 71581713 81807672 95442284 143163426 163615344 190884568 286326852 381769136 572653704 1145307408