Search a number
-
+
332402060256 = 253717136121379
BaseRepresentation
bin1001101011001001011…
…01001110101111100000
31011202222200010020022220
410311210231032233200
520421224411412011
6412411533431040
733005142615330
oct4654455165740
91152880106286
10332402060256
11118a7532a7a2
125450893b480
1325464a51326
14121345c50c0
1589a7119506
hex4d64b4ebe0

332402060256 has 192 divisors, whose sum is σ = 1056690593280. Its totient is φ = 89315573760.

The previous prime is 332402060233. The next prime is 332402060281. The reversal of 332402060256 is 652060204233.

332402060256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3324020602562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15537375 + ... + 15558753.

It is an arithmetic number, because the mean of its divisors is an integer number (5503596840).

Almost surely, 2332402060256 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 332402060256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528345296640).

332402060256 is an abundant number, since it is smaller than the sum of its proper divisors (724288533024).

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

332402060256 is a wasteful number, since it uses less digits than its factorization.

332402060256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22777 (or 22769 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 332402060256 its reverse (652060204233), we get a palindrome (984462264489).

The spelling of 332402060256 in words is "three hundred thirty-two billion, four hundred two million, sixty thousand, two hundred fifty-six".