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349208982 = 2352832539
BaseRepresentation
bin10100110100001…
…000000110010110
3220100002122200000
4110310020012112
51203344141412
654352432130
711440140663
oct2464100626
9810078600
10349208982
1116a134971
1298b48646
135746a145
1434542a6a
15209ce4dc
hex14d08196

349208982 has 48 divisors (see below), whose sum is σ = 787725120. Its totient is φ = 115945992.

The previous prime is 349208969. The next prime is 349208987. The reversal of 349208982 is 289802943.

349208982 is a `hidden beast` number, since 3 + 492 + 0 + 89 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349208987) 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 23 ways as a sum of consecutive naturals, for example, 136269 + ... + 138807.

It is an arithmetic number, because the mean of its divisors is an integer number (16410940).

Almost surely, 2349208982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349208982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393862560).

349208982 is an abundant number, since it is smaller than the sum of its proper divisors (438516138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349208982 is a wasteful number, since it uses less digits than its factorization.

349208982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 349208982 is about 18687.1341301977. The cubic root of 349208982 is about 704.1985641577.

The spelling of 349208982 in words is "three hundred forty-nine million, two hundred eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 283 486 566 849 1698 2539 2547 5078 5094 7617 7641 15234 15282 22851 22923 45702 45846 68553 68769 137106 137538 205659 411318 616977 718537 1233954 1437074 2155611 4311222 6466833 12933666 19400499 38800998 58201497 116402994 174604491 349208982