Search a number
-
+
933530340 = 2235531631801
BaseRepresentation
bin110111101001001…
…000101011100100
32102001121020212210
4313221020223210
53402440432330
6232344443420
732063606541
oct6751105344
92361536783
10933530340
11439a54186
12220779570
1311b536522
148bda7bc8
1556e518b0
hex37a48ae4

933530340 has 96 divisors (see below), whose sum is σ = 2681030016. Its totient is φ = 242611200.

The previous prime is 933530251. The next prime is 933530341. The reversal of 933530340 is 43035339.

933530340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 933530298 and 933530307.

It is not an unprimeable number, because it can be changed into a prime (933530341) by changing a digit.

It is a nontrivial repunit in base 977.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517440 + ... + 519240.

It is an arithmetic number, because the mean of its divisors is an integer number (27927396).

Almost surely, 2933530340 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 933530340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340515008).

933530340 is an abundant number, since it is smaller than the sum of its proper divisors (1747499676).

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

933530340 is a wasteful number, since it uses less digits than its factorization.

933530340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 30.

The square root of 933530340 is about 30553.7287413500. The cubic root of 933530340 is about 977.3335609679. Note that the first 3 decimals are identical.

Adding to 933530340 its reverse (43035339), we get a palindrome (976565679).

The spelling of 933530340 in words is "nine hundred thirty-three million, five hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 163 212 265 318 326 489 530 636 652 795 815 978 1060 1590 1630 1801 1956 2445 3180 3260 3602 4890 5403 7204 8639 9005 9780 10806 17278 18010 21612 25917 27015 34556 36020 43195 51834 54030 86390 95453 103668 108060 129585 172780 190906 259170 286359 293563 381812 477265 518340 572718 587126 880689 954530 1145436 1174252 1431795 1467815 1761378 1909060 2863590 2935630 3522756 4403445 5727180 5871260 8806890 15558839 17613780 31117678 46676517 62235356 77794195 93353034 155588390 186706068 233382585 311176780 466765170 933530340