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1368408064 = 214174
BaseRepresentation
bin101000110010000…
…0100000000000000
310112100220022222011
41101210010000000
510300303024224
6343441422304
745624163612
oct12144040000
93470808864
101368408064
11642481261
1232233a994
1318a66a01a
14cda4adb2
1580204394
hex51904000

1368408064 has 75 divisors (see below), whose sum is σ = 2907776347. Its totient is φ = 643956736.

The previous prime is 1368408031. The next prime is 1368408071. The reversal of 1368408064 is 4608048631.

The square root of 1368408064 is 36992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 424689664 + 943718400 = 20608^2 + 30720^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=136.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 80494584 + ... + 80494600.

Almost surely, 21368408064 is an apocalyptic number.

1368408064 is the 36992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368408064

1368408064 is an abundant number, since it is smaller than the sum of its proper divisors (1539368283).

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

1368408064 is an frugal number, since it uses more digits than its factorization.

1368408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The cubic root of 1368408064 is about 1110.2101877215.

The spelling of 1368408064 in words is "one billion, three hundred sixty-eight million, four hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2048 2176 2312 4096 4352 4624 4913 8192 8704 9248 9826 16384 17408 18496 19652 34816 36992 39304 69632 73984 78608 83521 139264 147968 157216 167042 278528 295936 314432 334084 591872 628864 668168 1183744 1257728 1336336 2367488 2515456 2672672 4734976 5030912 5345344 10061824 10690688 20123648 21381376 40247296 42762752 80494592 85525504 171051008 342102016 684204032 1368408064