Search a number
-
+
348044308085 = 52914811620733
BaseRepresentation
bin1010001000010010000…
…11101010111001110101
31020021100210202202102002
411010021003222321311
521200243320324320
6423520033225045
734100601543365
oct5041103527165
91207323682362
10348044308085
11124671a36041
1257553402185
1326a88668986
1412bb9c2c9a5
1590c04e4675
hex51090eae75

348044308085 has 16 divisors (see below), whose sum is σ = 432347001840. Its totient is φ = 268652536320.

The previous prime is 348044308069. The next prime is 348044308091. The reversal of 348044308085 is 580803440843.

It can be written as a sum of positive squares in 8 ways, for example, as 64657681 + 347979650404 = 8041^2 + 589898^2 .

It is not a de Polignac number, because 348044308085 - 24 = 348044308069 is a prime.

It is a super-2 number, since 2×3480443080852 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595622 + ... + 1025111.

It is an arithmetic number, because the mean of its divisors is an integer number (27021687615).

Almost surely, 2348044308085 is an apocalyptic number.

It is an amenable number.

348044308085 is a deficient number, since it is larger than the sum of its proper divisors (84302693755).

348044308085 is a wasteful number, since it uses less digits than its factorization.

348044308085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622248.

The product of its (nonzero) digits is 1474560, while the sum is 47.

The spelling of 348044308085 in words is "three hundred forty-eight billion, forty-four million, three hundred eight thousand, eighty-five".

Divisors: 1 5 29 145 1481 7405 42949 214745 1620733 8103665 47001257 235006285 2400305573 12001527865 69608861617 348044308085