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346366053 = 321129223541
BaseRepresentation
bin10100101001010…
…010000001100101
3220010202012220100
4110221102001211
51202132203203
654211454313
711404030365
oct2451220145
9803665810
10346366053
11168572a40
1297bb7399
13569b3137
14340029a5
152061bea3
hex14a52065

346366053 has 48 divisors (see below), whose sum is σ = 568189440. Its totient is φ = 201398400.

The previous prime is 346366051. The next prime is 346366057. The reversal of 346366053 is 350663643.

It is a happy number.

346366053 is a `hidden beast` number, since 3 + 46 + 3 + 6 + 605 + 3 = 666.

It is not a de Polignac number, because 346366053 - 21 = 346366051 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 346365999 and 346366017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346366051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639963 + ... + 640503.

It is an arithmetic number, because the mean of its divisors is an integer number (11837280).

Almost surely, 2346366053 is an apocalyptic number.

346366053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

346366053 is a deficient number, since it is larger than the sum of its proper divisors (221823387).

346366053 is a wasteful number, since it uses less digits than its factorization.

346366053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 346366053 is about 18610.9122022538. The cubic root of 346366053 is about 702.2823820733.

The spelling of 346366053 in words is "three hundred forty-six million, three hundred sixty-six thousand, fifty-three".

Divisors: 1 3 9 11 29 33 87 99 223 261 319 541 669 957 1623 2007 2453 2871 4869 5951 6467 7359 15689 17853 19401 22077 47067 53559 58203 71137 120643 141201 172579 213411 361929 517737 640233 1085787 1327073 1553211 3498647 3981219 10495941 11943657 31487823 38485117 115455351 346366053