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3254088240 = 2432513247569
BaseRepresentation
bin1100000111110101…
…0111001000110000
322101210010210212200
43001331113020300
523131021310430
61254522223200
7143432202504
oct30175271060
98353123780
103254088240
11141a936727
12769954b00
133cb228a00
1422c268304
15140a34460
hexc1f57230

3254088240 has 360 divisors, whose sum is σ = 12106635840. Its totient is φ = 782585856.

The previous prime is 3254088239. The next prime is 3254088241. The reversal of 3254088240 is 428804523.

3254088240 is a `hidden beast` number, since 3 + 2 + 5 + 408 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (3254088239) and next prime (3254088241).

It is a tau number, because it is divible by the number of its divisors (360).

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 = 3254088195 and 3254088204.

It is not an unprimeable number, because it can be changed into a prime (3254088241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5718676 + ... + 5719244.

It is an arithmetic number, because the mean of its divisors is an integer number (33629544).

Almost surely, 23254088240 is an apocalyptic number.

3254088240 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 3254088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053317920).

3254088240 is an abundant number, since it is smaller than the sum of its proper divisors (8852547600).

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

3254088240 is a wasteful number, since it uses less digits than its factorization.

3254088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3254088240 is about 57044.6162227427. The cubic root of 3254088240 is about 1481.8688711311.

The spelling of 3254088240 in words is "three billion, two hundred fifty-four million, eighty-eight thousand, two hundred forty".