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349589682 = 2341321132
BaseRepresentation
bin10100110101100…
…101000010110010
3220100210222220000
4110311211002302
51203443332212
654404530430
711443314621
oct2465450262
9810728800
10349589682
1116a3749a2
12990b0a16
1357571500
14346016b8
1520a571dc
hex14d650b2

349589682 has 90 divisors (see below), whose sum is σ = 855804807. Its totient is φ = 106614144.

The previous prime is 349589677. The next prime is 349589687. The reversal of 349589682 is 286985943.

It is an interprime number because it is at equal distance from previous prime (349589677) and next prime (349589687).

It can be written as a sum of positive squares in 5 ways, for example, as 22667121 + 326922561 = 4761^2 + 18081^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=13221.

It is a super-2 number, since 2×3495896822 = 244425891521722248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (349589687) 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 44 ways as a sum of consecutive naturals, for example, 3093658 + ... + 3093770.

Almost surely, 2349589682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349589682

349589682 is an abundant number, since it is smaller than the sum of its proper divisors (506215125).

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

349589682 is a wasteful number, since it uses less digits than its factorization.

349589682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 131 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 349589682 is about 18697.3175081347. The cubic root of 349589682 is about 704.4543718496.

The spelling of 349589682 in words is "three hundred forty-nine million, five hundred eighty-nine thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 113 117 162 169 226 234 338 339 351 507 678 702 1014 1017 1053 1469 1521 2034 2106 2938 3042 3051 4407 4563 6102 8814 9126 9153 12769 13221 13689 18306 19097 25538 26442 27378 38194 38307 39663 57291 76614 79326 114582 114921 118989 165997 171873 229842 237978 331994 343746 344763 497991 515619 689526 995982 1031238 1034289 1493973 1546857 2068578 2157961 2987946 3093714 4315922 4481919 6473883 8963838 12947766 13445757 19421649 26891514 38843298 58264947 116529894 174794841 349589682