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3268235040 = 2535717291973
BaseRepresentation
bin1100001011001101…
…0100111100100000
322102202202112122020
43002303110330200
523143132010130
61300145341440
7143663353020
oct30263247440
98382675566
103268235040
1114279193a4
12772637880
1340113cbb5
142300aba80
15141dcae10
hexc2cd4f20

3268235040 has 384 divisors, whose sum is σ = 12893852160. Its totient is φ = 678494208.

The previous prime is 3268235021. The next prime is 3268235041. The reversal of 3268235040 is 405328623.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3268234992 and 3268235010.

It is not an unprimeable number, because it can be changed into a prime (3268235041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1655494 + ... + 1657466.

It is an arithmetic number, because the mean of its divisors is an integer number (33577740).

Almost surely, 23268235040 is an apocalyptic number.

3268235040 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 3268235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446926080).

3268235040 is an abundant number, since it is smaller than the sum of its proper divisors (9625617120).

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

3268235040 is a wasteful number, since it uses less digits than its factorization.

3268235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3268235040 is about 57168.4794270409. The cubic root of 3268235040 is about 1484.0131887824.

The spelling of 3268235040 in words is "three billion, two hundred sixty-eight million, two hundred thirty-five thousand, forty".