Search a number
-
+
4019357349 = 3373434009
BaseRepresentation
bin1110111110010010…
…1000011010100101
3101101010010111202000
43233210220122211
531212423413344
61502500435513
7201413655000
oct35744503245
911333114660
104019357349
111782905737
129420a8b99
134c093b477
142a1b52537
15187ceaa69
hexef9286a5

4019357349 has 32 divisors (see below), whose sum is σ = 6944160000. Its totient is φ = 2296770336.

The previous prime is 4019357347. The next prime is 4019357351. The reversal of 4019357349 is 9437539104.

It is an interprime number because it is at equal distance from previous prime (4019357347) and next prime (4019357351).

It is not a de Polignac number, because 4019357349 - 21 = 4019357347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4019357347) 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 31 ways as a sum of consecutive naturals, for example, 207744 + ... + 226265.

It is an arithmetic number, because the mean of its divisors is an integer number (217005000).

Almost surely, 24019357349 is an apocalyptic number.

4019357349 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4019357349 is a deficient number, since it is larger than the sum of its proper divisors (2924802651).

4019357349 is an equidigital number, since it uses as much as digits as its factorization.

4019357349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434039 (or 434019 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 4019357349 is about 63398.4017858495. The cubic root of 4019357349 is about 1589.9575887584.

The spelling of 4019357349 in words is "four billion, nineteen million, three hundred fifty-seven thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 434009 1302027 3038063 3906081 9114189 11718243 21266441 27342567 63799323 82027701 148865087 191397969 446595261 574193907 1339785783 4019357349