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3361944240 = 2432541611867
BaseRepresentation
bin1100100001100011…
…0011001010110000
322200022002110111100
43020120303022300
523341124203430
61313334044400
7146212024464
oct31030631260
98608073440
103361944240
111475803516
12799aa9700
13417690225
1423c7024a4
1514a23b960
hexc86332b0

3361944240 has 240 divisors, whose sum is σ = 11761809696. Its totient is φ = 859852800.

The previous prime is 3361944239. The next prime is 3361944251. The reversal of 3361944240 is 424491633.

It is a happy number.

3361944240 is a `hidden beast` number, since 33 + 619 + 4 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33619442402 = 22605338145738355200, 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 = 3361944195 and 3361944204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1799787 + ... + 1801653.

Almost surely, 23361944240 is an apocalyptic number.

3361944240 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 3361944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880904848).

3361944240 is an abundant number, since it is smaller than the sum of its proper divisors (8399865456).

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

3361944240 is a wasteful number, since it uses less digits than its factorization.

3361944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

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

The square root of 3361944240 is about 57982.2752226920. The cubic root of 3361944240 is about 1498.0633139075.

The spelling of 3361944240 in words is "three billion, three hundred sixty-one million, nine hundred forty-four thousand, two hundred forty".