Search a number
-
+
328442752 = 2711892621
BaseRepresentation
bin10011100100111…
…010001110000000
3211220000121202101
4103210322032000
51133040132002
652331400144
711065501021
oct2344721600
9756017671
10328442752
111594409a0
1291bb3054
1353079031
1431898c48
151dc7b587
hex1393a380

328442752 has 64 divisors (see below), whose sum is σ = 722098800. Its totient is φ = 147558400.

The previous prime is 328442731. The next prime is 328442761. The reversal of 328442752 is 257244823.

328442752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124002 + ... + 126622.

Almost surely, 2328442752 is an apocalyptic number.

328442752 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 328442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361049400).

328442752 is an abundant number, since it is smaller than the sum of its proper divisors (393656048).

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

328442752 is a wasteful number, since it uses less digits than its factorization.

328442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2723 counting only the distinct ones).

The product of its digits is 107520, while the sum is 37.

The square root of 328442752 is about 18122.9895988493. The cubic root of 328442752 is about 689.9536144691.

The spelling of 328442752 in words is "three hundred twenty-eight million, four hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 352 356 704 712 979 1408 1424 1958 2621 2848 3916 5242 5696 7832 10484 11392 15664 20968 28831 31328 41936 57662 62656 83872 115324 125312 167744 230648 233269 335488 461296 466538 922592 933076 1845184 1866152 2565959 3690368 3732304 5131918 7464608 10263836 14929216 20527672 29858432 41055344 82110688 164221376 328442752