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349927488 = 26323531721
BaseRepresentation
bin10100110110110…
…111100001000000
3220101110011021100
4110312313201000
51204040134423
654420054400
711446222521
oct2466674100
9811404240
10349927488
1116a585779
1299234400
135765c1b1
143468c848
1520ac2343
hex14db7840

349927488 has 84 divisors (see below), whose sum is σ = 1006429788. Its totient is φ = 116244480.

The previous prime is 349927483. The next prime is 349927493. The reversal of 349927488 is 884729943.

349927488 is a `hidden beast` number, since 3 + 499 + 2 + 74 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (349927483) and next prime (349927493).

It can be written as a sum of positive squares in 2 ways, for example, as 201867264 + 148060224 = 14208^2 + 12168^2 .

It is not an unprimeable number, because it can be changed into a prime (349927483) 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 11 ways as a sum of consecutive naturals, for example, 202468 + ... + 204188.

It is an arithmetic number, because the mean of its divisors is an integer number (11981307).

Almost surely, 2349927488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349927488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503214894).

349927488 is an abundant number, since it is smaller than the sum of its proper divisors (656502300).

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

349927488 is a wasteful number, since it uses less digits than its factorization.

349927488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2079 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 349927488 is about 18706.3488687665. The cubic root of 349927488 is about 704.6812018713.

The spelling of 349927488 in words is "three hundred forty-nine million, nine hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 353 576 706 1059 1412 1721 2118 2824 3177 3442 4236 5163 5648 6354 6884 8472 10326 11296 12708 13768 15489 16944 20652 22592 25416 27536 30978 33888 41304 50832 55072 61956 67776 82608 101664 110144 123912 165216 203328 247824 330432 495648 607513 991296 1215026 1822539 2430052 3645078 4860104 5467617 7290156 9720208 10935234 14580312 19440416 21870468 29160624 38880832 43740936 58321248 87481872 116642496 174963744 349927488