Search a number
-
+
330445234120 = 235591153121439
BaseRepresentation
bin1001100111100000001…
…00100001111111001000
31011120221022000011111211
410303300010201333020
520403222434442440
6411445432102504
732605512101011
oct4636004417710
91146838004454
10330445234120
111181607a1311
1254061534a34
1325212512341
1411dca768008
1588e0433eea
hex4cf0121fc8

330445234120 has 64 divisors (see below), whose sum is σ = 756765504000. Its totient is φ = 129824022528.

The previous prime is 330445234057. The next prime is 330445234129. The reversal of 330445234120 is 21432544033.

It is a happy number.

It is a super-2 number, since 2×3304452341202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330445234129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2660361 + ... + 2781799.

It is an arithmetic number, because the mean of its divisors is an integer number (11824461000).

Almost surely, 2330445234120 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 330445234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378382752000).

330445234120 is an abundant number, since it is smaller than the sum of its proper divisors (426320269880).

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

330445234120 is a wasteful number, since it uses less digits than its factorization.

330445234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122662 (or 122658 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 330445234120 its reverse (21432544033), we get a palindrome (351877778153).

The spelling of 330445234120 in words is "three hundred thirty billion, four hundred forty-five million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1153 1180 2306 2360 4612 5765 9224 11530 23060 46120 68027 121439 136054 242878 272108 340135 485756 544216 607195 680270 971512 1214390 1360540 2428780 2721080 4857560 7164901 14329802 28659604 35824505 57319208 71649010 140019167 143298020 280038334 286596040 560076668 700095835 1120153336 1400191670 2800383340 5600766680 8261130853 16522261706 33044523412 41305654265 66089046824 82611308530 165222617060 330445234120