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4312680241 = 17238632
BaseRepresentation
bin1000000010000111…
…00100011100110001
3102010120001212002211
410001003210130301
532313021231431
61551535412121
7211605114532
oct40103443461
912116055084
104312680241
111913439551
12a04384041
1353963bccc
142ccaa8689
151a393b2b1
hex1010e4731

4312680241 has 9 divisors (see below), whose sum is σ = 4582476331. Its totient is φ = 4057942432.

The previous prime is 4312680233. The next prime is 4312680263. The reversal of 4312680241 is 1420862134.

The square root of 4312680241 is 65671.

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., 3357623025 + 955057216 = 57945^2 + 30904^2 .

It is not a de Polignac number, because 4312680241 - 23 = 4312680233 is a prime.

It is a super-2 number, since 2×43126802412 = 37198421722223636162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4312680341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1114476 + ... + 1118338.

Almost surely, 24312680241 is an apocalyptic number.

4312680241 is the 65671-st square number.

4312680241 is the 32836-th centered octagonal number.

It is an amenable number.

4312680241 is a deficient number, since it is larger than the sum of its proper divisors (269796090).

4312680241 is an frugal number, since it uses more digits than its factorization.

4312680241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 4312680241 is about 1627.7301942521.

Multiplying 4312680241 by its product of nonzero digits (9216), we get a square (39745661101056 = 63044162).

The spelling of 4312680241 in words is "four billion, three hundred twelve million, six hundred eighty thousand, two hundred forty-one".

Divisors: 1 17 289 3863 65671 1116407 14922769 253687073 4312680241