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351111420 = 2232511383463
BaseRepresentation
bin10100111011011…
…000100011111100
3220110200022022200
4110323120203330
51204341031140
654501311500
711462253312
oct2473304374
9813608280
10351111420
11170214230
1299705590
135798504a
14348ba0b2
1520c58030
hex14ed88fc

351111420 has 144 divisors (see below), whose sum is σ = 1167409152. Its totient is φ = 84712320.

The previous prime is 351111407. The next prime is 351111457. The reversal of 351111420 is 24111153.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 351111393 and 351111402.

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, 758109 + ... + 758571.

It is an arithmetic number, because the mean of its divisors is an integer number (8107008).

Almost surely, 2351111420 is an apocalyptic number.

351111420 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 351111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583704576).

351111420 is an abundant number, since it is smaller than the sum of its proper divisors (816297732).

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

351111420 is a wasteful number, since it uses less digits than its factorization.

351111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 351111420 is about 18737.9673390686. The cubic root of 351111420 is about 705.4750382235.

Adding to 351111420 its reverse (24111153), we get a palindrome (375222573).

The spelling of 351111420 in words is "three hundred fifty-one million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 383 396 463 495 660 766 926 990 1149 1389 1532 1852 1915 1980 2298 2315 2778 3447 3830 4167 4213 4596 4630 5093 5556 5745 6894 6945 7660 8334 8426 9260 10186 11490 12639 13788 13890 15279 16668 16852 17235 20372 20835 21065 22980 25278 25465 27780 30558 34470 37917 41670 42130 45837 50556 50930 61116 63195 68940 75834 76395 83340 84260 91674 101860 126390 151668 152790 177329 183348 189585 229185 252780 305580 354658 379170 458370 531987 709316 758340 886645 916740 1063974 1595961 1773290 1950619 2127948 2659935 3191922 3546580 3901238 5319870 5851857 6383844 7802476 7979805 9753095 10639740 11703714 15959610 17555571 19506190 23407428 29259285 31919220 35111142 39012380 58518570 70222284 87777855 117037140 175555710 351111420