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346696038481 = 132452932
BaseRepresentation
bin1010000101110001011…
…00011011100001010001
31020010212211202120012211
411002320230123201101
521140013141212411
6423134151152121
734022310463252
oct5027054334121
91203784676184
10346696038481
1112403a96a141
1257237975641
1326902230100
1412accb44b29
159041e6c221
hex50b8b1b851

346696038481 has 9 divisors (see below), whose sum is σ = 375424709169. Its totient is φ = 320020046736.

The previous prime is 346696038463. The next prime is 346696038547. The reversal of 346696038481 is 184830696643.

It is a happy number.

The square root of 346696038481 is 588809.

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 20517984081 + 326178054400 = 143241^2 + 571120^2 .

It is not a de Polignac number, because 346696038481 - 25 = 346696038449 is a prime.

It is a super-2 number, since 2×3466960384812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346696038401) 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 8 ways as a sum of consecutive naturals, for example, 7631871 + ... + 7677163.

Almost surely, 2346696038481 is an apocalyptic number.

346696038481 is the 588809-th square number.

346696038481 is the 294405-th centered octagonal number.

It is an amenable number.

346696038481 is a deficient number, since it is larger than the sum of its proper divisors (28728670688).

346696038481 is an frugal number, since it uses more digits than its factorization.

346696038481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90612 (or 45306 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 346696038481 in words is "three hundred forty-six billion, six hundred ninety-six million, thirty-eight thousand, four hundred eighty-one".

Divisors: 1 13 169 45293 588809 7654517 2051455849 26668926037 346696038481