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1934419968 = 2113513223
BaseRepresentation
bin111001101001100…
…1110100000000000
311222210221201100000
41303103032200000
512430202414333
6515541200000
765636204235
oct16323164000
94883851300
101934419968
11902a25398
1245ba00000
1324a9c5600
14144ca778c
15b4c5b713
hex734ce800

1934419968 has 432 divisors, whose sum is σ = 6546627360. Its totient is φ = 569327616.

The previous prime is 1934419909. The next prime is 1934419997. The reversal of 1934419968 is 8699144391.

It is a happy number.

1934419968 is a `hidden beast` number, since 193 + 441 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×19344199682 = 7483961225194242048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84105205 + ... + 84105227.

It is an arithmetic number, because the mean of its divisors is an integer number (15154230).

Almost surely, 21934419968 is an apocalyptic number.

1934419968 is a gapful number since it is divisible by the number (18) 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 1934419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273313680).

1934419968 is an abundant number, since it is smaller than the sum of its proper divisors (4612207392).

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

1934419968 is an equidigital number, since it uses as much as digits as its factorization.

1934419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1934419968 is about 43982.0414260184. The cubic root of 1934419968 is about 1245.9967862836.

The spelling of 1934419968 in words is "one billion, nine hundred thirty-four million, four hundred nineteen thousand, nine hundred sixty-eight".