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1368348064 = 25294353647
BaseRepresentation
bin101000110001111…
…0101010110100000
310112100210021122221
41101203311112200
510300244114224
6343440240424
745623523646
oct12143652640
93470707587
101368348064
11642440176
12322310114
1318a648915
14cda33196
15801e16e4
hex518f55a0

1368348064 has 96 divisors (see below), whose sum is σ = 2909934720. Its totient is φ = 632067072.

The previous prime is 1368348053. The next prime is 1368348077. The reversal of 1368348064 is 4608438631.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 1368348064.

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, 2114589 + ... + 2115235.

It is an arithmetic number, because the mean of its divisors is an integer number (30311820).

Almost surely, 21368348064 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 1368348064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454967360).

1368348064 is an abundant number, since it is smaller than the sum of its proper divisors (1541586656).

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

1368348064 is a wasteful number, since it uses less digits than its factorization.

1368348064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 1368348064 is about 36991.1890049509. The cubic root of 1368348064 is about 1110.1939611814.

The spelling of 1368348064 in words is "one billion, three hundred sixty-eight million, three hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 43 53 58 86 106 116 172 212 232 344 424 464 647 688 848 928 1247 1294 1376 1537 1696 2279 2494 2588 3074 4558 4988 5176 6148 9116 9976 10352 12296 18232 18763 19952 20704 24592 27821 34291 36464 37526 39904 49184 55642 66091 68582 72928 75052 111284 132182 137164 150104 222568 264364 274328 300208 445136 528728 548656 600416 806809 890272 994439 1057456 1097312 1474513 1613618 1988878 2114912 2949026 3227236 3977756 5898052 6454472 7955512 11796104 12908944 15911024 23592208 25817888 31822048 42760877 47184416 85521754 171043508 342087016 684174032 1368348064