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349448363 = 11279139263
BaseRepresentation
bin10100110101000…
…010100010101011
3220100112211000222
4110311002202223
51203424321423
654401520255
711442155615
oct2465024253
9810484028
10349448363
1116a288800
129904308b
13575220a4
14345a5db5
1520a2a3c8
hex14d428ab

349448363 has 24 divisors (see below), whose sum is σ = 393254400. Its totient is φ = 310218480.

The previous prime is 349448357. The next prime is 349448369. The reversal of 349448363 is 363844943.

It is an interprime number because it is at equal distance from previous prime (349448357) and next prime (349448369).

It is not a de Polignac number, because 349448363 - 210 = 349447339 is a prime.

It is a super-2 number, since 2×3494483632 = 244228316806759538, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (349448369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328570 + ... + 1328832.

It is an arithmetic number, because the mean of its divisors is an integer number (16385600).

Almost surely, 2349448363 is an apocalyptic number.

349448363 is a deficient number, since it is larger than the sum of its proper divisors (43806037).

349448363 is a wasteful number, since it uses less digits than its factorization.

349448363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The square root of 349448363 is about 18693.5380011383. The cubic root of 349448363 is about 704.3594355953.

The spelling of 349448363 in words is "three hundred forty-nine million, four hundred forty-eight thousand, three hundred sixty-three".

Divisors: 1 11 79 121 139 263 869 1529 2893 9559 10981 16819 20777 31823 36557 120791 228547 402127 1328701 2514017 2888003 4423397 31768033 349448363