[go: up one dir, main page]

Search a number
-
+
9335328 = 253472069
BaseRepresentation
bin100011100111…
…001000100000
3122120021122220
4203213020200
54342212303
6532031040
7142230462
oct43471040
918507586
109335328
1152a6852
123162480
131c1b182
141350132
15c46053
hex8e7220

9335328 has 48 divisors (see below), whose sum is σ = 25038720. Its totient is φ = 3044096.

The previous prime is 9335323. The next prime is 9335357. The reversal of 9335328 is 8235339.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9335323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3478 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 29335328 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 9335328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519360).

9335328 is an abundant number, since it is smaller than the sum of its proper divisors (15703392).

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

9335328 is a wasteful number, since it uses less digits than its factorization.

9335328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2121 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 9335328 is about 3055.3768998276. The cubic root of 9335328 is about 210.5603177011.

The spelling of 9335328 in words is "nine million, three hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2069 2256 4138 4512 6207 8276 12414 16552 24828 33104 49656 66208 97243 99312 194486 198624 291729 388972 583458 777944 1166916 1555888 2333832 3111776 4667664 9335328