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343024220 = 225711353631
BaseRepresentation
bin10100011100100…
…010001001011100
3212220110102202202
4110130202021130
51200303233340
654012111032
711333441420
oct2434421134
9786412682
10343024220
111666a01a0
1296a65478
13560b3016
14337b2b80
15201abc15
hex1472225c

343024220 has 96 divisors (see below), whose sum is σ = 902071296. Its totient is φ = 106444800.

The previous prime is 343024219. The next prime is 343024243. The reversal of 343024220 is 22420343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 343024192 and 343024201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543305 + ... + 543935.

It is an arithmetic number, because the mean of its divisors is an integer number (9396576).

Almost surely, 2343024220 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 343024220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451035648).

343024220 is an abundant number, since it is smaller than the sum of its proper divisors (559047076).

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

343024220 is a wasteful number, since it uses less digits than its factorization.

343024220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 343024220 is about 18520.9130444479. The cubic root of 343024220 is about 700.0164758027.

Adding to 343024220 its reverse (22420343), we get a palindrome (365444563).

The spelling of 343024220 in words is "three hundred forty-three million, twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 353 385 631 706 770 1262 1412 1540 1765 2471 2524 3155 3530 3883 4417 4942 6310 6941 7060 7766 8834 9884 12355 12620 13882 15532 17668 19415 22085 24710 27181 27764 34705 38830 44170 48587 49420 54362 69410 77660 88340 97174 108724 135905 138820 194348 222743 242935 271810 445486 485870 543620 890972 971740 1113715 1559201 2227430 2450173 3118402 4454860 4900346 6236804 7796005 9800692 12250865 15592010 17151211 24501730 31184020 34302422 49003460 68604844 85756055 171512110 343024220