[go: up one dir, main page]

Search a number
-
+
332830836 = 2233133743149
BaseRepresentation
bin10011110101101…
…001100001110100
3212012021120002000
4103311221201310
51140201041321
653005415300
711151005202
oct2365514164
9765246060
10332830836
11160968808
129356a530
1353c54430
14322bc072
151e346826
hex13d69874

332830836 has 192 divisors, whose sum is σ = 983136000. Its totient is φ = 96671232.

The previous prime is 332830819. The next prime is 332830837. The reversal of 332830836 is 638038233.

It is a super-2 number, since 2×3328308362 = 221552730784917792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332830836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332830837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2233690 + ... + 2233838.

It is an arithmetic number, because the mean of its divisors is an integer number (5120500).

Almost surely, 2332830836 is an apocalyptic number.

332830836 is a gapful number since it is divisible by the number (36) 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 332830836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491568000).

332830836 is an abundant number, since it is smaller than the sum of its proper divisors (650305164).

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

332830836 is a wasteful number, since it uses less digits than its factorization.

332830836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 332830836 is about 18243.6519370437. The cubic root of 332830836 is about 693.0126869363.

The spelling of 332830836 in words is "three hundred thirty-two million, eight hundred thirty thousand, eight hundred thirty-six".