Search a number
-
+
368058353 = 1341690541
BaseRepresentation
bin10101111100000…
…001111111110001
3221122120022010212
4111330001333301
51223210331403
6100304433505
712056305265
oct2574017761
9848508125
10368058353
11179839763
12a3318895
135b339910
1436c4c0a5
15224a44d8
hex15f01ff1

368058353 has 8 divisors (see below), whose sum is σ = 406038696. Its totient is φ = 331459200.

The previous prime is 368058349. The next prime is 368058377. The reversal of 368058353 is 353850863.

It can be written as a sum of positive squares in 4 ways, for example, as 2024929 + 366033424 = 1423^2 + 19132^2 .

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 368058353 - 22 = 368058349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 368058353.

It is not an unprimeable number, because it can be changed into a prime (368058853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344738 + ... + 345803.

It is an arithmetic number, because the mean of its divisors is an integer number (50754837).

Almost surely, 2368058353 is an apocalyptic number.

It is an amenable number.

368058353 is a deficient number, since it is larger than the sum of its proper divisors (37980343).

368058353 is a wasteful number, since it uses less digits than its factorization.

368058353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690595.

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 368058353 is about 19184.8469631634. The cubic root of 368058353 is about 716.6474493014.

The spelling of 368058353 in words is "three hundred sixty-eight million, fifty-eight thousand, three hundred fifty-three".

Divisors: 1 13 41 533 690541 8977033 28312181 368058353