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348488328241 = 257222972
BaseRepresentation
bin1010001001000111000…
…01011110010000110001
31020022111202021022120001
411010203201132100301
521202201003000431
6424032054150001
734114602625654
oct5044341362061
91208452238501
10348488328241
1112487a637a49
1257658052301
1326b296508b1
1412c1cbb189b
1590e94a0e61
hex512385e431

348488328241 has 9 divisors (see below), whose sum is σ = 350001963649. Its totient is φ = 346981218304.

The previous prime is 348488328229. The next prime is 348488328271. The reversal of 348488328241 is 142823884843.

It is a happy number.

The square root of 348488328241 is 590329.

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 121188230641 + 227300097600 = 348121^2 + 476760^2 .

It is not a de Polignac number, because 348488328241 - 227 = 348354110513 is a prime.

It is a super-2 number, since 2×3484883282412 (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 (348488328271) 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, 151713405 + ... + 151715701.

Almost surely, 2348488328241 is an apocalyptic number.

348488328241 is the 590329-th square number.

348488328241 is the 295165-th centered octagonal number.

It is an amenable number.

348488328241 is a deficient number, since it is larger than the sum of its proper divisors (1513635408).

348488328241 is an frugal number, since it uses more digits than its factorization.

348488328241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 2554 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 55.

The spelling of 348488328241 in words is "three hundred forty-eight billion, four hundred eighty-eight million, three hundred twenty-eight thousand, two hundred forty-one".

Divisors: 1 257 2297 66049 590329 5276209 151714553 1355985713 348488328241