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343620369 = 323721672
BaseRepresentation
bin10100011110110…
…011101100010001
3212221120201112100
4110132303230101
51200431322434
654032551013
711341503441
oct2436635421
9787521470
10343620369
11166a68084
12970b2469
1356261481
14338ca121
1520278699
hex147b3b11

343620369 has 27 divisors (see below), whose sum is σ = 513190587. Its totient is φ = 221554224.

The previous prime is 343620341. The next prime is 343620383. The reversal of 343620369 is 963026343.

The square root of 343620369 is 18537.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 307476225 + 36144144 = 17535^2 + 6012^2 .

It is not a de Polignac number, because 343620369 - 217 = 343489297 is a prime.

It is a super-2 number, since 2×3436203692 = 236149915983392322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343620469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2057524 + ... + 2057690.

Almost surely, 2343620369 is an apocalyptic number.

343620369 is the 18537-th square number.

343620369 is the 9269-th centered octagonal number.

It is an amenable number.

343620369 is a deficient number, since it is larger than the sum of its proper divisors (169570218).

343620369 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (343620368) it forms an eRAP, since the sums of their prime factors are consecutive (413 and 414).

343620369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The cubic root of 343620369 is about 700.4217655537.

Multiplying 343620369 by its sum of digits (36), we get a square (12370333284 = 1112222).

The spelling of 343620369 in words is "three hundred forty-three million, six hundred twenty thousand, three hundred sixty-nine".

Divisors: 1 3 9 37 111 167 333 501 1369 1503 4107 6179 12321 18537 27889 55611 83667 228623 251001 685869 1031893 2057607 3095679 9287037 38180041 114540123 343620369