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3334471140 = 22357111359941
BaseRepresentation
bin1100011010111111…
…1111110111100100
322121101101200111010
43012233333313210
523312111034030
61310513142220
7145426352130
oct30657776744
98541350433
103334471140
111461249580
1279085a970
13411a91460
14238bd03c0
15147b116b0
hexc6bffde4

3334471140 has 384 divisors, whose sum is σ = 12761763840. Its totient is φ = 628070400.

The previous prime is 3334471123. The next prime is 3334471181. The reversal of 3334471140 is 411744333.

It is a super-3 number, since 3×33344711403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3334471098 and 3334471107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3543070 + ... + 3544010.

It is an arithmetic number, because the mean of its divisors is an integer number (33233760).

Almost surely, 23334471140 is an apocalyptic number.

3334471140 is a gapful number since it is divisible by the number (30) 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 3334471140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380881920).

3334471140 is an abundant number, since it is smaller than the sum of its proper divisors (9427292700).

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

3334471140 is a wasteful number, since it uses less digits than its factorization.

3334471140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3334471140 is about 57744.8797730154. The cubic root of 3334471140 is about 1493.9715285905.

It can be divided in two parts, 3334 and 471140, that added together give a palindrome (474474).

The spelling of 3334471140 in words is "three billion, three hundred thirty-four million, four hundred seventy-one thousand, one hundred forty".