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343110420 = 223252577417
BaseRepresentation
bin10100011100110…
…111001100010100
3212220121211000100
4110130313030110
51200314013140
654014014100
711334250632
oct2434671424
9786554010
10343110420
11166749a34
1296aa7330
1356113323
14337d6352
15201c7530
hex14737314

343110420 has 72 divisors (see below), whose sum is σ = 1044958824. Its totient is φ = 91127808.

The previous prime is 343110419. The next prime is 343110431. The reversal of 343110420 is 24011343.

343110420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 184199184 + 158911236 = 13572^2 + 12606^2 .

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 = 343110393 and 343110402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42552 + ... + 49968.

It is an arithmetic number, because the mean of its divisors is an integer number (14513317).

Almost surely, 2343110420 is an apocalyptic number.

343110420 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 343110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522479412).

343110420 is an abundant number, since it is smaller than the sum of its proper divisors (701848404).

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

343110420 is a wasteful number, since it uses less digits than its factorization.

343110420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 343110420 is about 18523.2399973655. The cubic root of 343110420 is about 700.0751075872.

Adding to 343110420 its reverse (24011343), we get a palindrome (367121763).

The spelling of 343110420 in words is "three hundred forty-three million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 7417 7710 9252 11565 14834 15420 22251 23130 29668 37085 44502 46260 66753 74170 89004 111255 133506 148340 222510 267012 333765 445020 667530 1335060 1906169 3812338 5718507 7624676 9530845 11437014 17155521 19061690 22874028 28592535 34311042 38123380 57185070 68622084 85777605 114370140 171555210 343110420