Search a number
-
+
338593993 = 3713766797
BaseRepresentation
bin10100001011101…
…000100011001001
3212121010100122021
4110023220203021
51143140001433
653333124441
711251000333
oct2413504311
9777110567
10338593993
11164144751
1295489721
13551c169a
1432d7c453
151ead422d
hex142e88c9

338593993 has 8 divisors (see below), whose sum is σ = 350288712. Its totient is φ = 327033216.

The previous prime is 338593987. The next prime is 338593999. The reversal of 338593993 is 399395833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338593987) and next prime (338593999).

It can be written as a sum of positive squares in 4 ways, for example, as 81216144 + 257377849 = 9012^2 + 16043^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 338593993 - 217 = 338462921 is a prime.

It is a super-2 number, since 2×3385939932 = 229291784191368098, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338593993.

It is not an unprimeable number, because it can be changed into a prime (338593999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28330 + ... + 38467.

It is an arithmetic number, because the mean of its divisors is an integer number (43786089).

Almost surely, 2338593993 is an apocalyptic number.

It is an amenable number.

338593993 is a deficient number, since it is larger than the sum of its proper divisors (11694719).

338593993 is a wasteful number, since it uses less digits than its factorization.

338593993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66971.

The product of its digits is 2361960, while the sum is 52.

The square root of 338593993 is about 18400.9236996407. The cubic root of 338593993 is about 696.9897900766.

The spelling of 338593993 in words is "three hundred thirty-eight million, five hundred ninety-three thousand, nine hundred ninety-three".

Divisors: 1 37 137 5069 66797 2471489 9151189 338593993