Search a number
-
+
330116769840 = 2435111317283401
BaseRepresentation
bin1001100110111000111…
…11100010100000110000
31011120002101221110020010
410303130133202200300
520402034343113330
6411353100014520
732564413150134
oct4633437424060
91146071843203
10330116769840
11118002346230
1253b8b531440
132518c459590
1411d98ca53c4
1588c16a13b0
hex4cdc7e2830

330116769840 has 960 divisors, whose sum is σ = 1295764065792. Its totient is φ = 68517888000.

The previous prime is 330116769797. The next prime is 330116769841. The reversal of 330116769840 is 48967611033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 330116769840.

It is not an unprimeable number, because it can be changed into a prime (330116769841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 823233640 + ... + 823234040.

Almost surely, 2330116769840 is an apocalyptic number.

330116769840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330116769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647882032896).

330116769840 is an abundant number, since it is smaller than the sum of its proper divisors (965647295952).

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

330116769840 is a wasteful number, since it uses less digits than its factorization.

330116769840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 330116769840 in words is "three hundred thirty billion, one hundred sixteen million, seven hundred sixty-nine thousand, eight hundred forty".