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343362012841 = 2327323492
BaseRepresentation
bin1001111111100011111…
…10001000011010101001
31012211021111012111211201
410333301332020122221
521111201133402331
6421423251324201
733543554645011
oct4776176103251
91184244174751
10343362012841
111226899a5351
12566672b0661
13264c0596683
141289402cc41
158de93e7a61
hex4ff1f886a9

343362012841 has 27 divisors (see below), whose sum is σ = 364969964709. Its totient is φ = 323005966272.

The previous prime is 343362012839. The next prime is 343362012859. The reversal of 343362012841 is 148210263343.

The square root of 343362012841 is 585971.

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 32225635225 + 311136377616 = 179515^2 + 557796^2 .

It is not a de Polignac number, because 343362012841 - 21 = 343362012839 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 343362012841.

It is not an unprimeable number, because it can be changed into a prime (343362012821) 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, 983845135 + ... + 983845483.

Almost surely, 2343362012841 is an apocalyptic number.

343362012841 is the 585971-st square number.

343362012841 is the 292986-th centered octagonal number.

It is an amenable number.

343362012841 is a deficient number, since it is larger than the sum of its proper divisors (21607951868).

343362012841 is an frugal number, since it uses more digits than its factorization.

343362012841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 343362012841 in words is "three hundred forty-three billion, three hundred sixty-two million, twelve thousand, eight hundred forty-one".

Divisors: 1 23 73 349 529 1679 5329 8027 25477 38617 121801 122567 184621 585971 1859821 2801423 2819041 8891473 13477333 42775883 64432729 204503879 649077529 983845309 4703589217 14928783167 343362012841