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3194361744 = 2437317101113
BaseRepresentation
bin1011111001100110…
…0001011110010000
322020121202101112020
42332121201132100
523020224033434
61244550131440
7142105425000
oct27631413620
98217671466
103194361744
11139a152292
12751950b80
133bba463a2
1422435c000
1513a687849
hexbe661790

3194361744 has 320 divisors, whose sum is σ = 10381478400. Its totient is φ = 842956800.

The previous prime is 3194361707. The next prime is 3194361773. The reversal of 3194361744 is 4471634913.

3194361744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31943617443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (217728) is a multiple of the sum of its prime divisors (243).

It is a junction number, because it is equal to n+sod(n) for n = 3194361696 and 3194361705.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28268632 + ... + 28268744.

It is an arithmetic number, because the mean of its divisors is an integer number (32442120).

Almost surely, 23194361744 is an apocalyptic number.

3194361744 is a gapful number since it is divisible by the number (34) 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 3194361744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190739200).

3194361744 is an abundant number, since it is smaller than the sum of its proper divisors (7187116656).

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

3194361744 is a wasteful number, since it uses less digits than its factorization.

3194361744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 3194361744 is about 56518.6849103905. The cubic root of 3194361744 is about 1472.7466109500.

The spelling of 3194361744 in words is "three billion, one hundred ninety-four million, three hundred sixty-one thousand, seven hundred forty-four".