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346020415225 = 5271216572
BaseRepresentation
bin1010000100100000110…
…11001000011011111001
31020002010202110100100021
411002100123020123321
521132122211241400
6422543134210441
733666465000202
oct5022033103371
91202122410307
10346020415225
1112382355a411
1257089653a21
1326825277334
1412a671145a9
1590029b271a
hex50906c86f9

346020415225 has 27 divisors (see below), whose sum is σ = 435456401421. Its totient is φ = 272752804800.

The previous prime is 346020415201. The next prime is 346020415229. The reversal of 346020415225 is 522514020643.

The square root of 346020415225 is 588235.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35856073449 + 310164341776 = 189357^2 + 556924^2 .

It is not a de Polignac number, because 346020415225 - 25 = 346020415193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346020415229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208822597 + ... + 208824253.

Almost surely, 2346020415225 is an apocalyptic number.

346020415225 is the 588235-th square number.

346020415225 is the 294118-th centered octagonal number.

It is an amenable number.

346020415225 is a deficient number, since it is larger than the sum of its proper divisors (89435986196).

346020415225 is an frugal number, since it uses more digits than its factorization.

346020415225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 346020415225 its reverse (522514020643), we get a palindrome (868534435868).

The spelling of 346020415225 in words is "three hundred forty-six billion, twenty million, four hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 5 25 71 355 1657 1775 5041 8285 25205 41425 117647 126025 588235 2745649 2941175 8352937 13728245 41764685 68641225 194941079 208823425 974705395 4873526975 13840816609 69204083045 346020415225