Search a number
-
+
1068528384 = 283271119317
BaseRepresentation
bin111111101100000…
…111001100000000
32202110121212101100
4333230013030000
54142020402014
6254010134400
735323225050
oct7754071400
92673555340
101068528384
114a917a210
12259a21400
131404b1c21
14a1ca9560
1563c1b009
hex3fb07300

1068528384 has 432 divisors, whose sum is σ = 4055950080. Its totient is φ = 262103040.

The previous prime is 1068528337. The next prime is 1068528401. The reversal of 1068528384 is 4838258601.

It is a super-2 number, since 2×10685283842 = 2283505814827302912, which contains 22 as substring.

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, 3370594 + ... + 3370910.

Almost surely, 21068528384 is an apocalyptic number.

1068528384 is a gapful number since it is divisible by the number (14) 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 1068528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027975040).

1068528384 is an abundant number, since it is smaller than the sum of its proper divisors (2987421696).

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

1068528384 is a wasteful number, since it uses less digits than its factorization.

1068528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1068528384 is about 32688.3524210077. The cubic root of 1068528384 is about 1022.3400025039.

The spelling of 1068528384 in words is "one billion, sixty-eight million, five hundred twenty-eight thousand, three hundred eighty-four".