Search a number
-
+
332975104 = 21071141103
BaseRepresentation
bin10011110110001…
…100110000000000
3212012112212222021
4103312030300000
51140220200404
653012451224
711152145620
oct2366146000
9765485867
10332975104
11160a57140
1293619b14
1353ca4cb7
1432318880
151e374454
hex13d8cc00

332975104 has 176 divisors, whose sum is σ = 858364416. Its totient is φ = 125337600.

The previous prime is 332975089. The next prime is 332975147. The reversal of 332975104 is 401579233.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×3329751042 = 221744839767621632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332975104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3232717 + ... + 3232819.

Almost surely, 2332975104 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 332975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429182208).

332975104 is an abundant number, since it is smaller than the sum of its proper divisors (525389312).

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

332975104 is a wasteful number, since it uses less digits than its factorization.

332975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 332975104 is about 18247.6054319464. The cubic root of 332975104 is about 693.1128029726.

The spelling of 332975104 in words is "three hundred thirty-two million, nine hundred seventy-five thousand, one hundred four".