Search a number
-
+
332650080 = 25325761541
BaseRepresentation
bin10011110100111…
…101011001100000
3212011221101010100
4103310331121200
51140124300310
653001502400
711146323210
oct2364753140
9764841110
10332650080
11160854a24
12934a1a00
1353bc0089
1432272240
151e30cec0
hex13d3d660

332650080 has 288 divisors, whose sum is σ = 1321040448. Its totient is φ = 74649600.

The previous prime is 332650079. The next prime is 332650093. The reversal of 332650080 is 80056233.

332650080 is a `hidden beast` number, since 3 + 3 + 2 + 650 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3326500802 = 221312151448012800, which 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 47 ways as a sum of consecutive naturals, for example, 614610 + ... + 615150.

It is an arithmetic number, because the mean of its divisors is an integer number (4586946).

Almost surely, 2332650080 is an apocalyptic number.

332650080 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 332650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660520224).

332650080 is an abundant number, since it is smaller than the sum of its proper divisors (988390368).

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

332650080 is a wasteful number, since it uses less digits than its factorization.

332650080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 332650080 is about 18238.6973219032. The cubic root of 332650080 is about 692.8872088942.

The spelling of 332650080 in words is "three hundred thirty-two million, six hundred fifty thousand, eighty".