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350049480 = 233511509521
BaseRepresentation
bin10100110111010…
…101010011001000
3220101200100121120
4110313111103020
51204103040410
654422435240
711450241264
oct2467252310
9811610546
10350049480
1116a6593a0
1299292b20
13576a2891
14346c10a4
1520ae8570
hex14dd54c8

350049480 has 128 divisors (see below), whose sum is σ = 1150070400. Its totient is φ = 84531200.

The previous prime is 350049463. The next prime is 350049487. The reversal of 350049480 is 84940053.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (350049487) 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, 671620 + ... + 672140.

It is an arithmetic number, because the mean of its divisors is an integer number (8984925).

Almost surely, 2350049480 is an apocalyptic number.

350049480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350049480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575035200).

350049480 is an abundant number, since it is smaller than the sum of its proper divisors (800020920).

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

350049480 is a wasteful number, since it uses less digits than its factorization.

350049480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 350049480 is about 18709.6092957603. The cubic root of 350049480 is about 704.7630811980.

The spelling of 350049480 in words is "three hundred fifty million, forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 509 521 660 1018 1042 1320 1527 1563 2036 2084 2545 2605 3054 3126 4072 4168 5090 5210 5599 5731 6108 6252 7635 7815 10180 10420 11198 11462 12216 12504 15270 15630 16797 17193 20360 20840 22396 22924 27995 28655 30540 31260 33594 34386 44792 45848 55990 57310 61080 62520 67188 68772 83985 85965 111980 114620 134376 137544 167970 171930 223960 229240 265189 335940 343860 530378 671880 687720 795567 1060756 1325945 1591134 2121512 2651890 2917079 3182268 3977835 5303780 5834158 6364536 7955670 8751237 10607560 11668316 14585395 15911340 17502474 23336632 29170790 31822680 35004948 43756185 58341580 70009896 87512370 116683160 175024740 350049480