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1347438768 = 2431317373433
BaseRepresentation
bin101000001010000…
…0100100010110000
310110220102222111120
41100110010202300
510224421020033
6341412142240
745251016624
oct12024044260
93426388446
101347438768
11631659765
12317307980
13186207660
14cad4d184
157d4611b3
hex505048b0

1347438768 has 160 divisors (see below), whose sum is σ = 4077614016. Its totient is φ = 379551744.

The previous prime is 1347438749. The next prime is 1347438779. The reversal of 1347438768 is 8678347431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1347438768.

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, 390780 + ... + 394212.

Almost surely, 21347438768 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 1347438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038807008).

1347438768 is an abundant number, since it is smaller than the sum of its proper divisors (2730175248).

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

1347438768 is a wasteful number, since it uses less digits than its factorization.

1347438768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3505 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 1347438768 is about 36707.4756418907. The cubic root of 1347438768 is about 1104.5100693847.

The spelling of 1347438768 in words is "one billion, three hundred forty-seven million, four hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 37 39 48 51 52 68 74 78 102 104 111 136 148 156 204 208 221 222 272 296 312 408 442 444 481 592 624 629 663 816 884 888 962 1258 1326 1443 1768 1776 1887 1924 2516 2652 2886 3433 3536 3774 3848 5032 5304 5772 6866 7548 7696 8177 10064 10299 10608 11544 13732 15096 16354 20598 23088 24531 27464 30192 32708 41196 44629 49062 54928 58361 65416 82392 89258 98124 116722 127021 130832 133887 164784 175083 178516 196248 233444 254042 267774 350166 357032 381063 392496 466888 508084 535548 700332 714064 758693 762126 933776 1016168 1071096 1400664 1517386 1524252 1651273 2032336 2142192 2159357 2276079 2801328 3034772 3048504 3302546 4318714 4552158 4953819 6069544 6097008 6478071 6605092 8637428 9104316 9907638 12139088 12956142 13210184 17274856 18208632 19815276 25912284 26420368 28071641 34549712 36417264 39630552 51824568 56143282 79261104 84214923 103649136 112286564 168429846 224573128 336859692 449146256 673719384 1347438768