Search a number
-
+
348484737461805 = 3457142573862171
BaseRepresentation
bin100111100111100011110110…
…0111111000110111000101101
31200200212211000112022102220000
41033033013230333012320231
5331134033220242234210
63233055402302414513
7133255122442150560
oct11717075477067055
91620784015272800
10348484737461805
11a104660235639a
1233102815591439
1311c5ac7b682ab9
14620aa7376c4d7
152a44d4b250ac0
hex13cf1ecfc6e2d

348484737461805 has 80 divisors (see below), whose sum is σ = 713938588708224. Its totient is φ = 159306006407040.

The previous prime is 348484737461803. The next prime is 348484737461807. The reversal of 348484737461805 is 508164737484843.

348484737461805 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 8 + 473 + 74 + 6 + 1 + 80 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (348484737461803) and next prime (348484737461807).

It is not a de Polignac number, because 348484737461805 - 21 = 348484737461803 is a prime.

It is a super-2 number, since 2×3484847374618052 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348484737461801) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 403763370 + ... + 404625540.

Almost surely, 2348484737461805 is an apocalyptic number.

348484737461805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

348484737461805 is an abundant number, since it is smaller than the sum of its proper divisors (365453851246419).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348484737461805 is a wasteful number, since it uses less digits than its factorization.

348484737461805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004768 (or 1004759 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 348484737461805 in words is "three hundred forty-eight trillion, four hundred eighty-four billion, seven hundred thirty-seven million, four hundred sixty-one thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 142573 427719 712865 862171 998011 1283157 2138595 2586513 2994033 3849471 4310855 4990055 6035197 6415785 7759539 8982099 11548413 12932565 14970165 18105591 19247355 23278617 26946297 30175985 38797695 44910495 54316773 57742065 69835851 80838891 90527955 116393085 134731485 162950319 271583865 349179255 404194455 488850957 814751595 2444254785 122922305983 368766917949 614611529915 860456141881 1106300753847 1843834589745 2581368425643 3318902261541 4302280709405 5531503769235 7744105276929 9956706784623 12906842128215 16594511307705 23232315830787 38720526384645 49783533923115 69696947492361 116161579153935 348484737461805