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1378340824 = 237171738369
BaseRepresentation
bin101001000100111…
…1100111111011000
310120001120222011011
41102021330333120
510310323401244
6344434343304
746104463240
oct12211747730
93501528134
101378340824
11648045953
1232572ab34
1318c7370b3
14d10b4b20
1581017434
hex5227cfd8

1378340824 has 64 divisors (see below), whose sum is σ = 3145780800. Its totient is φ = 552689664.

The previous prime is 1378340809. The next prime is 1378340827. The reversal of 1378340824 is 4280438731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378340827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160512 + ... + 168880.

It is an arithmetic number, because the mean of its divisors is an integer number (49152825).

Almost surely, 21378340824 is an apocalyptic number.

1378340824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378340824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572890400).

1378340824 is an abundant number, since it is smaller than the sum of its proper divisors (1767439976).

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

1378340824 is a wasteful number, since it uses less digits than its factorization.

1378340824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8568 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 1378340824 is about 37126.0127673307. The cubic root of 1378340824 is about 1112.8899139754.

The spelling of 1378340824 in words is "one billion, three hundred seventy-eight million, three hundred forty thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 173 238 346 476 692 952 1211 1384 2422 2941 4844 5882 8369 9688 11764 16738 20587 23528 33476 41174 58583 66952 82348 117166 142273 164696 234332 284546 468664 569092 995911 1138184 1447837 1991822 2895674 3983644 5791348 7967288 10134859 11582696 20269718 24613229 40539436 49226458 81078872 98452916 172292603 196905832 344585206 689170412 1378340824