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3341946240 = 2732543103131
BaseRepresentation
bin1100011100110010…
…0000110110000000
322121220110110101200
43013030200312000
523321014234430
61311341301200
7145550034333
oct30714406600
98556413350
103341946240
111465494746
12793264800
134134aa9a9
14239bb861a
151485db460
hexc7320d80

3341946240 has 384 divisors, whose sum is σ = 12014196480. Its totient is φ = 855429120.

The previous prime is 3341946221. The next prime is 3341946247. The reversal of 3341946240 is 426491433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33419462402 = 22337209342100275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3341946195 and 3341946204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3341946247) 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, 25510975 + ... + 25511105.

It is an arithmetic number, because the mean of its divisors is an integer number (31286970).

Almost surely, 23341946240 is an apocalyptic number.

3341946240 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 3341946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007098240).

3341946240 is an abundant number, since it is smaller than the sum of its proper divisors (8672250240).

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

3341946240 is a wasteful number, since it uses less digits than its factorization.

3341946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3341946240 is about 57809.5687581217. The cubic root of 3341946240 is about 1495.0870730000.

The spelling of 3341946240 in words is "three billion, three hundred forty-one million, nine hundred forty-six thousand, two hundred forty".