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349528905 = 33511534441
BaseRepresentation
bin10100110101010…
…110001101001001
3220100200220112000
4110311112031021
51203434411110
654403341213
711442642465
oct2465261511
9810626460
10349528905
1116a333270
1299081809
135754c94b
14345c74a5
1520a441c0
hex14d56349

349528905 has 64 divisors (see below), whose sum is σ = 690819840. Its totient is φ = 166233600.

The previous prime is 349528901. The next prime is 349528913. The reversal of 349528905 is 509825943.

349528905 is a `hidden beast` number, since 34 + 9 + 528 + 90 + 5 = 666.

It is not a de Polignac number, because 349528905 - 22 = 349528901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349528901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76485 + ... + 80925.

It is an arithmetic number, because the mean of its divisors is an integer number (10794060).

Almost surely, 2349528905 is an apocalyptic number.

It is an amenable number.

349528905 is a deficient number, since it is larger than the sum of its proper divisors (341290935).

349528905 is a wasteful number, since it uses less digits than its factorization.

349528905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 349528905 is about 18695.6921508673. The cubic root of 349528905 is about 704.4135457927.

It can be divided in two parts, 3495 and 28905, that added together give a square (32400 = 1802).

The spelling of 349528905 in words is "three hundred forty-nine million, five hundred twenty-eight thousand, nine hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 53 55 99 135 159 165 265 297 477 495 583 795 1431 1485 1749 2385 2915 4441 5247 7155 8745 13323 15741 22205 26235 39969 48851 66615 78705 119907 146553 199845 235373 244255 439659 599535 706119 732765 1176865 1318977 2118357 2198295 2589103 3530595 6355071 6594885 7767309 10591785 12945515 23301927 31775355 38836545 69905781 116509635 349528905