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349284852 = 22337736329
BaseRepresentation
bin10100110100011…
…010100111110100
3220100020111202000
4110310122213310
51203404103402
654354215300
711440605120
oct2464324764
9810214660
10349284852
1116a186974
1298b84530
1357495837
1434562580
15209e6c1c
hex14d1a9f4

349284852 has 96 divisors (see below), whose sum is σ = 1049260800. Its totient is φ = 98413056.

The previous prime is 349284821. The next prime is 349284857. The reversal of 349284852 is 258482943.

349284852 is a `hidden beast` number, since 3 + 492 + 84 + 85 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349284798 and 349284807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349284857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52024 + ... + 58352.

It is an arithmetic number, because the mean of its divisors is an integer number (10929800).

Almost surely, 2349284852 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 349284852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524630400).

349284852 is an abundant number, since it is smaller than the sum of its proper divisors (699975948).

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

349284852 is a wasteful number, since it uses less digits than its factorization.

349284852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6414 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 349284852 is about 18689.1640262479. The cubic root of 349284852 is about 704.2495591006.

The spelling of 349284852 in words is "three hundred forty-nine million, two hundred eighty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 876 1022 1314 1533 1971 2044 2628 3066 3942 4599 6132 6329 7884 9198 12658 13797 18396 18987 25316 27594 37974 44303 55188 56961 75948 88606 113922 132909 170883 177212 227844 265818 341766 398727 462017 531636 683532 797454 924034 1196181 1386051 1594908 1848068 2392362 2772102 3234119 4158153 4784724 5544204 6468238 8316306 9702357 12474459 12936476 16632612 19404714 24948918 29107071 38809428 49897836 58214142 87321213 116428284 174642426 349284852