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3309189840 = 24325113071361
BaseRepresentation
bin1100010100111110…
…0011101011010000
322112121211021001200
43011033203223100
523234123033330
61304211231200
7145001435535
oct30517435320
98477737050
103309189840
111448a51340
127842a8500
1340977c1c8
142356ccd8c
151457baa60
hexc53e3ad0

3309189840 has 240 divisors, whose sum is σ = 12172095936. Its totient is φ = 799027200.

The previous prime is 3309189833. The next prime is 3309189881. The reversal of 3309189840 is 489819033.

3309189840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

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, 2430760 + ... + 2432120.

Almost surely, 23309189840 is an apocalyptic number.

3309189840 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 3309189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086047968).

3309189840 is an abundant number, since it is smaller than the sum of its proper divisors (8862906096).

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

3309189840 is a wasteful number, since it uses less digits than its factorization.

3309189840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3309189840 is about 57525.5581459233. The cubic root of 3309189840 is about 1490.1862806304.

The spelling of 3309189840 in words is "three billion, three hundred nine million, one hundred eighty-nine thousand, eight hundred forty".