Search a number
-
+
326965968 = 24327547593
BaseRepresentation
bin10011011111010…
…001101011010000
3211210020120222200
4103133101223100
51132200402333
652240003200
711050110360
oct2337215320
9753216880
10326965968
1115862240a
1291600500
135297cab4
14315d29a0
151da88c13
hex137d1ad0

326965968 has 120 divisors (see below), whose sum is σ = 1049450688. Its totient is φ = 93090816.

The previous prime is 326965931. The next prime is 326965973. The reversal of 326965968 is 869569623.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (4199040) is a multiple of the sum of its prime divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551080 + ... + 551672.

Almost surely, 2326965968 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 326965968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524725344).

326965968 is an abundant number, since it is smaller than the sum of its proper divisors (722484720).

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

326965968 is a wasteful number, since it uses less digits than its factorization.

326965968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1152 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 326965968 is about 18082.2003085908. The cubic root of 326965968 is about 688.9179764494.

The spelling of 326965968 in words is "three hundred twenty-six million, nine hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 547 593 1008 1094 1186 1641 1779 2188 2372 3282 3558 3829 4151 4376 4744 4923 5337 6564 7116 7658 8302 8752 9488 9846 10674 11487 12453 13128 14232 15316 16604 19692 21348 22974 24906 26256 28464 30632 33208 34461 37359 39384 42696 45948 49812 61264 66416 68922 74718 78768 85392 91896 99624 137844 149436 183792 199248 275688 298872 324371 551376 597744 648742 973113 1297484 1946226 2270597 2594968 2919339 3892452 4541194 5189936 5838678 6811791 7784904 9082388 11677356 13623582 15569808 18164776 20435373 23354712 27247164 36329552 40870746 46709424 54494328 81741492 108988656 163482984 326965968