Search a number
-
+
3280852512 = 253471931307
BaseRepresentation
bin1100001110001101…
…1101011000100000
322110122111120120000
43003203131120200
523204344240022
61301320020000
7144205533450
oct30343353040
98418446500
103280852512
111433a57063
12776901600
13403939c62
14231a33d60
1514306e6ac
hexc38dd620

3280852512 has 480 divisors, whose sum is σ = 12021166080. Its totient is φ = 856604160.

The previous prime is 3280852501. The next prime is 3280852529. The reversal of 3280852512 is 2152580823.

3280852512 is a `hidden beast` number, since 328 + 0 + 85 + 251 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10686663 + ... + 10686969.

It is an arithmetic number, because the mean of its divisors is an integer number (25044096).

Almost surely, 23280852512 is an apocalyptic number.

3280852512 is a gapful number since it is divisible by the number (32) 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 3280852512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010583040).

3280852512 is an abundant number, since it is smaller than the sum of its proper divisors (8740313568).

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

3280852512 is a wasteful number, since it uses less digits than its factorization.

3280852512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3280852512 is about 57278.7265221565. The cubic root of 3280852512 is about 1485.9204822718.

The spelling of 3280852512 in words is "three billion, two hundred eighty million, eight hundred fifty-two thousand, five hundred twelve".