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1168819344 = 243272112372
BaseRepresentation
bin100010110101010…
…1100010010010000
310000110100011201100
41011222230102100
54343204204334
6311551504400
740651541400
oct10552542220
93013304640
101168819344
1154a84a300
12287528100
131581c7ca4
14b1334800
156c92bc99
hex45aac490

1168819344 has 405 divisors, whose sum is σ = 4298586201. Its totient is φ = 295384320.

The previous prime is 1168819331. The next prime is 1168819361. The reversal of 1168819344 is 4439188611.

1168819344 = T350 + T351 + ... + T1917.

The square root of 1168819344 is 34188.

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

It can be written as a sum of positive squares in only one way, i.e., 1045875600 + 122943744 = 32340^2 + 11088^2 .

It is a super-2 number, since 2×11688193442 = 2732277317817180672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1168819344.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31589694 + ... + 31589730.

Almost surely, 21168819344 is an apocalyptic number.

1168819344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1168819344 is the 34188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1168819344

1168819344 is an abundant number, since it is smaller than the sum of its proper divisors (3129766857).

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

1168819344 is a wasteful number, since it uses less digits than its factorization.

1168819344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 60 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 1168819344 is about 1053.3736819809.

The spelling of 1168819344 in words is "one billion, one hundred sixty-eight million, eight hundred nineteen thousand, three hundred forty-four".