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348942114306 = 23254180944293
BaseRepresentation
bin1010001001111101001…
…00100001111000000010
31020100200101011001000100
411010332210201320002
521204113140124211
6424145104303230
734132053014262
oct5047644417002
91210611131010
10348942114306
11124a927aa155
1257764011b16
1326b9c674966
1412c631777a2
15912423b156
hex513e921e02

348942114306 has 48 divisors (see below), whose sum is σ = 758392123320. Its totient is φ = 115952912640.

The previous prime is 348942114277. The next prime is 348942114343. The reversal of 348942114306 is 603411249843.

348942114306 is a `hidden beast` number, since 3 + 4 + 89 + 421 + 143 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 348837890625 + 104223681 = 590625^2 + 10209^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7855896 + ... + 7900188.

Almost surely, 2348942114306 is an apocalyptic number.

348942114306 is an abundant number, since it is smaller than the sum of its proper divisors (409450009014).

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

348942114306 is a wasteful number, since it uses less digits than its factorization.

348942114306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45651 (or 45648 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 348942114306 in words is "three hundred forty-eight billion, nine hundred forty-two million, one hundred fourteen thousand, three hundred six".

Divisors: 1 2 3 6 9 18 541 809 1082 1618 1623 2427 3246 4854 4869 7281 9738 14562 44293 88586 132879 265758 398637 437669 797274 875338 1313007 2626014 3939021 7878042 23962513 35833037 47925026 71666074 71887539 107499111 143775078 214998222 215662617 322497333 431325234 644994666 19385673017 38771346034 58157019051 116314038102 174471057153 348942114306