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1345518768 = 24311231011097
BaseRepresentation
bin101000000110010…
…1111110010110000
310110202211102202110
41100030233302300
510223423100033
6341303045320
745225502146
oct12014576260
93422742673
101345518768
11630568190
12316740840
131859b4769
14ca9ad596
157d1d2363
hex5032fcb0

1345518768 has 160 divisors (see below), whose sum is σ = 3999601152. Its totient is φ = 385792000.

The previous prime is 1345518751. The next prime is 1345518803. The reversal of 1345518768 is 8678155431.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1225996 + ... + 1227092.

Almost surely, 21345518768 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 1345518768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999800576).

1345518768 is an abundant number, since it is smaller than the sum of its proper divisors (2654082384).

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

1345518768 is a wasteful number, since it uses less digits than its factorization.

1345518768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 1345518768 is about 36681.3136078849. The cubic root of 1345518768 is about 1103.9852051157.

It can be divided in two parts, 13455 and 18768, that added together give a palindrome (32223).

The spelling of 1345518768 in words is "one billion, three hundred forty-five million, five hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 101 132 138 176 184 202 253 264 276 303 368 404 506 528 552 606 759 808 1012 1097 1104 1111 1212 1518 1616 2024 2194 2222 2323 2424 3036 3291 3333 4048 4388 4444 4646 4848 6072 6582 6666 6969 8776 8888 9292 12067 12144 13164 13332 13938 17552 17776 18584 24134 25231 25553 26328 26664 27876 36201 37168 48268 50462 51106 52656 53328 55752 72402 75693 76659 96536 100924 102212 110797 111504 144804 151386 153318 193072 201848 204424 221594 277541 289608 302772 306636 332391 403696 408848 443188 555082 579216 605544 613272 664782 832623 886376 1110164 1211088 1218767 1226544 1329564 1665246 1772752 2220328 2437534 2548331 2659128 3330492 3656301 4440656 4875068 5096662 5318256 6660984 7312602 7644993 9750136 10193324 13321968 14625204 15289986 19500272 20386648 28031641 29250408 30579972 40773296 56063282 58500816 61159944 84094923 112126564 122319888 168189846 224253128 336379692 448506256 672759384 1345518768