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3256007328 = 253372389263
BaseRepresentation
bin1100001000010010…
…1011101010100000
322101220202022101000
43002010223222200
523132014213303
61255031312000
7143454414510
oct30204535240
98356668330
103256007328
111420a27552
1276a51b600
133cb74b372
1422c607840
15140cb2da3
hexc212baa0

3256007328 has 384 divisors, whose sum is σ = 11496038400. Its totient is φ = 876496896.

The previous prime is 3256007291. The next prime is 3256007387. The reversal of 3256007328 is 8237006523.

3256007328 is a `hidden beast` number, since 3 + 2 + 560 + 0 + 73 + 28 = 666.

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 = 3256007292 and 3256007301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12380125 + ... + 12380387.

It is an arithmetic number, because the mean of its divisors is an integer number (29937600).

Almost surely, 23256007328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3256007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748019200).

3256007328 is an abundant number, since it is smaller than the sum of its proper divisors (8240031072).

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

3256007328 is a wasteful number, since it uses less digits than its factorization.

3256007328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3256007328 is about 57061.4346822791. The cubic root of 3256007328 is about 1482.1601230060.

The spelling of 3256007328 in words is "three billion, two hundred fifty-six million, seven thousand, three hundred twenty-eight".