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1383834816 = 2632713171553
BaseRepresentation
bin101001001111011…
…1010010011000000
310120102221002111100
41102132322103000
510313230203231
6345152214400
746202254560
oct12236722300
93512832440
101383834816
11650158641
1232753a400
1319090b990
14d1b04da0
15817501e6
hex527ba4c0

1383834816 has 336 divisors, whose sum is σ = 5172358464. Its totient is φ = 343277568.

The previous prime is 1383834811. The next prime is 1383834821. The reversal of 1383834816 is 6184383831.

1383834816 is a `hidden beast` number, since 13 + 83 + 83 + 481 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1383834811) and next prime (1383834821).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383834811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890296 + ... + 891848.

It is an arithmetic number, because the mean of its divisors is an integer number (15393924).

Almost surely, 21383834816 is an apocalyptic number.

1383834816 is a gapful number since it is divisible by the number (16) 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 1383834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586179232).

1383834816 is an abundant number, since it is smaller than the sum of its proper divisors (3788523648).

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

1383834816 is a wasteful number, since it uses less digits than its factorization.

1383834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1595 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1383834816 is about 37199.9303225154. The cubic root of 1383834816 is about 1114.3665933967.

The spelling of 1383834816 in words is "one billion, three hundred eighty-three million, eight hundred thirty-four thousand, eight hundred sixteen".