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350100520 = 235711197577
BaseRepresentation
bin10100110111100…
…001110000101000
3220101202221121221
4110313201300220
51204111204040
654423511424
711450543140
oct2467416050
9811687557
10350100520
1116a693780
12992b8574
13576bcb93
14346d5920
1520b0874a
hex14de1c28

350100520 has 128 divisors (see below), whose sum is σ = 988796160. Its totient is φ = 108380160.

The previous prime is 350100493. The next prime is 350100521. The reversal of 350100520 is 25001053.

It is a junction number, because it is equal to n+sod(n) for n = 350100494 and 350100503.

It is not an unprimeable number, because it can be changed into a prime (350100521) 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 31 ways as a sum of consecutive naturals, for example, 606472 + ... + 607048.

It is an arithmetic number, because the mean of its divisors is an integer number (7724970).

Almost surely, 2350100520 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 350100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494398080).

350100520 is an abundant number, since it is smaller than the sum of its proper divisors (638695640).

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

350100520 is a wasteful number, since it uses less digits than its factorization.

350100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 350100520 is about 18710.9732510097. The cubic root of 350100520 is about 704.7973328886.

Adding to 350100520 its reverse (25001053), we get a palindrome (375101573).

The spelling of 350100520 in words is "three hundred fifty million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 197 220 280 308 385 394 440 577 616 770 788 985 1154 1379 1540 1576 1970 2167 2308 2758 2885 3080 3940 4039 4334 4616 5516 5770 6347 6895 7880 8078 8668 10835 11032 11540 12694 13790 15169 16156 17336 20195 21670 23080 25388 27580 30338 31735 32312 40390 43340 44429 50776 55160 60676 63470 75845 80780 86680 88858 113669 121352 126940 151690 161560 177716 222145 227338 253880 303380 355432 444290 454676 568345 606760 795683 888580 909352 1136690 1250359 1591366 1777160 2273380 2500718 3182732 3978415 4546760 5001436 6251795 6365464 7956830 8752513 10002872 12503590 15913660 17505026 25007180 31827320 35010052 43762565 50014360 70020104 87525130 175050260 350100520