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3234308040 = 2332553179947
BaseRepresentation
bin1100000011000111…
…1001111111001000
322100101220212112200
43000301321333020
523110440324130
61252534240200
7143102110335
oct30061717710
98311825480
103234308040
11140a756557
127631b6060
133c70c1652
1422979998c
1513de28760
hexc0c79fc8

3234308040 has 192 divisors, whose sum is σ = 10781035200. Its totient is φ = 840592896.

The previous prime is 3234308039. The next prime is 3234308053. The reversal of 3234308040 is 408034323.

3234308040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3234307995 and 3234308013.

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, 3414847 + ... + 3415793.

It is an arithmetic number, because the mean of its divisors is an integer number (56151225).

Almost surely, 23234308040 is an apocalyptic number.

3234308040 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 3234308040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390517600).

3234308040 is an abundant number, since it is smaller than the sum of its proper divisors (7546727160).

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

3234308040 is a wasteful number, since it uses less digits than its factorization.

3234308040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3234308040 is about 56870.9771324531. The cubic root of 3234308040 is about 1478.8602193628.

The spelling of 3234308040 in words is "three billion, two hundred thirty-four million, three hundred eight thousand, forty".