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3369328560 = 2432513834337
BaseRepresentation
bin1100100011010011…
…1101111110110000
322200210222121212200
43020310331332300
523400022003220
61314200223200
7146331551223
oct31064757660
98623877780
103369328560
111479997464
127a046ab00
13419077350
1423d6a55ba
1514abe9890
hexc8d3dfb0

3369328560 has 240 divisors, whose sum is σ = 12335397984. Its totient is φ = 819191808.

The previous prime is 3369328559. The next prime is 3369328601. The reversal of 3369328560 is 658239633.

3369328560 is a `hidden beast` number, since 3 + 3 + 69 + 3 + 28 + 560 = 666.

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

It is a super-2 number, since 2×33693285602 = 22704749890463347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774712 + ... + 779048.

Almost surely, 23369328560 is an apocalyptic number.

3369328560 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 3369328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167698992).

3369328560 is an abundant number, since it is smaller than the sum of its proper divisors (8966069424).

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

3369328560 is a wasteful number, since it uses less digits than its factorization.

3369328560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3369328560 is about 58045.9176859148. The cubic root of 3369328560 is about 1499.1593155878.

The spelling of 3369328560 in words is "three billion, three hundred sixty-nine million, three hundred twenty-eight thousand, five hundred sixty".