Search a number
-
+
353348104350 = 235219379332687
BaseRepresentation
bin1010010010001010011…
…00000011000010011110
31020210001102210112002210
411021011030003002132
521242124103314400
6430154220101250
734346203221303
oct5110514030236
91223042715083
10353348104350
1112694387a73a
1258593694826
1327422424267
14131603b10aa
1592d0e59950
hex524530309e

353348104350 has 96 divisors (see below), whose sum is σ = 922695943680. Its totient is φ = 89240624640.

The previous prime is 353348104309. The next prime is 353348104363. The reversal of 353348104350 is 53401843353.

It is a junction number, because it is equal to n+sod(n) for n = 353348104299 and 353348104308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10793707 + ... + 10826393.

It is an arithmetic number, because the mean of its divisors is an integer number (9611416080).

Almost surely, 2353348104350 is an apocalyptic number.

353348104350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 353348104350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461347971840).

353348104350 is an abundant number, since it is smaller than the sum of its proper divisors (569347839330).

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

353348104350 is a wasteful number, since it uses less digits than its factorization.

353348104350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36514 (or 36509 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 353348104350 in words is "three hundred fifty-three billion, three hundred forty-eight million, one hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 3793 7586 11379 18965 22758 32687 37930 56895 65374 72067 94825 98061 113790 144134 163435 189650 196122 216201 284475 326870 360335 432402 490305 568950 621053 720670 817175 980610 1081005 1242106 1634350 1801675 1863159 2162010 2451525 3105265 3603350 3726318 4903050 5405025 6210530 9315795 10810050 15526325 18631590 31052650 46578975 93157950 123981791 247963582 371945373 619908955 743890746 1239817910 1859726865 2355654029 3099544775 3719453730 4711308058 6199089550 7066962087 9298634325 11778270145 14133924174 18597268650 23556540290 35334810435 58891350725 70669620870 117782701450 176674052175 353348104350