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1361746944 = 2103349253
BaseRepresentation
bin101000100101010…
…1001110000000000
310111220100220122000
41101022221300000
510242101400234
6343042544000
745513441465
oct12112516000
93456326560
101361746944
116397416a8
12320068000
1318917712c
14ccbd566c
157e83a899
hex512a9c00

1361746944 has 88 divisors (see below), whose sum is σ = 4032917520. Its totient is φ = 453906432.

The previous prime is 1361746913. The next prime is 1361746961. The reversal of 1361746944 is 4496471631.

1361746944 is a `hidden beast` number, since 136 + 17 + 469 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1361746944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3022 + ... + 52274.

Almost surely, 21361746944 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 1361746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016458760).

1361746944 is an abundant number, since it is smaller than the sum of its proper divisors (2671170576).

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

1361746944 is an equidigital number, since it uses as much as digits as its factorization.

1361746944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49282 (or 49258 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1361746944 is about 36901.8555631014. The cubic root of 1361746944 is about 1108.4058342960.

The spelling of 1361746944 in words is "one billion, three hundred sixty-one million, seven hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 49253 98506 147759 197012 295518 394024 443277 591036 788048 886554 1182072 1329831 1576096 1773108 2364144 2659662 3152192 3546216 4728288 5319324 6304384 7092432 9456576 10638648 12608768 14184864 18913152 21277296 25217536 28369728 37826304 42554592 50435072 56739456 75652608 85109184 113478912 151305216 170218368 226957824 340436736 453915648 680873472 1361746944