Search a number
-
+
339959808 = 213332953
BaseRepresentation
bin10100010000110…
…110000000000000
3212200200202012000
4110100312000000
51144012203213
653422304000
711265416316
oct2420660000
9780622160
10339959808
11164997921
1295a28000
135557c266
14332160b6
151eca3c73
hex14436000

339959808 has 224 divisors, whose sum is σ = 1061618400. Its totient is φ = 107347968.

The previous prime is 339959801. The next prime is 339959813. The reversal of 339959808 is 808959933.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339959801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414310 + ... + 6414362.

Almost surely, 2339959808 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 339959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530809200).

339959808 is an abundant number, since it is smaller than the sum of its proper divisors (721658592).

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

339959808 is an equidigital number, since it uses as much as digits as its factorization.

339959808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 339959808 is about 18437.9990237553. Note that the first 3 decimals coincide. The cubic root of 339959808 is about 697.9257015138.

The spelling of 339959808 in words is "three hundred thirty-nine million, nine hundred fifty-nine thousand, eight hundred eight".