Search a number
-
+
332808840 = 2332571310159
BaseRepresentation
bin10011110101100…
…100001010001000
3212012020102220100
4103311210022020
51140144340330
653005125400
711150554110
oct2365441210
9765212810
10332808840
11160953231
1293559860
1353c47410
14322b4040
151e340060
hex13d64288

332808840 has 192 divisors, whose sum is σ = 1331366400. Its totient is φ = 70212096.

The previous prime is 332808829. The next prime is 332808857. The reversal of 332808840 is 48808233.

It is a happy number.

It is a super-2 number, since 2×3328088402 = 221523447964291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 332808795 and 332808804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27681 + ... + 37839.

It is an arithmetic number, because the mean of its divisors is an integer number (6934200).

Almost surely, 2332808840 is an apocalyptic number.

332808840 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 332808840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665683200).

332808840 is an abundant number, since it is smaller than the sum of its proper divisors (998557560).

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

332808840 is a wasteful number, since it uses less digits than its factorization.

332808840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 332808840 is about 18243.0490872551. The cubic root of 332808840 is about 692.9974200787.

The spelling of 332808840 in words is "three hundred thirty-two million, eight hundred eight thousand, eight hundred forty".