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3360424320 = 27345117183
BaseRepresentation
bin1100100001001100…
…0000000110000000
322200012020020120000
43020103000012000
523340232034240
61313241320000
7146163064311
oct31023000600
98605206500
103360424320
111474965590
12799496000
1341727a476
1423c428608
1514a03b430
hexc84c0180

3360424320 has 640 divisors, whose sum is σ = 13435994880. Its totient is φ = 793497600.

The previous prime is 3360424313. The next prime is 3360424381. The reversal of 3360424320 is 234240633.

It is a happy number.

3360424320 is a `hidden beast` number, since 3 + 3 + 604 + 24 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×33604243202 = 22584903220894924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40486999 + ... + 40487081.

It is an arithmetic number, because the mean of its divisors is an integer number (20993742).

Almost surely, 23360424320 is an apocalyptic number.

3360424320 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 3360424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717997440).

3360424320 is an abundant number, since it is smaller than the sum of its proper divisors (10075570560).

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

3360424320 is a wasteful number, since it uses less digits than its factorization.

3360424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3360424320 is about 57969.1669769370. The cubic root of 3360424320 is about 1497.8375239631.

Adding to 3360424320 its reverse (234240633), we get a palindrome (3594664953).

The spelling of 3360424320 in words is "three billion, three hundred sixty million, four hundred twenty-four thousand, three hundred twenty".