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342544625346 = 237114737342293
BaseRepresentation
bin1001111110000010100…
…00000010111011000010
31012202011112010220222210
410333001100002323002
521103012411002341
6421210212042550
733514401163050
oct4770120027302
91182145126883
10342544625346
111222aa568aa0
1256479603456
13263c0136531
14128176591d0
158d9c788c16
hex4fc1402ec2

342544625346 has 128 divisors (see below), whose sum is σ = 874669694976. Its totient is φ = 86844084480.

The previous prime is 342544625309. The next prime is 342544625377. The reversal of 342544625346 is 643526445243.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 342544625295 and 342544625304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8078176 + ... + 8120468.

It is an arithmetic number, because the mean of its divisors is an integer number (6833356992).

Almost surely, 2342544625346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342544625346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437334847488).

342544625346 is an abundant number, since it is smaller than the sum of its proper divisors (532125069630).

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

342544625346 is a wasteful number, since it uses less digits than its factorization.

342544625346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42736.

The product of its digits is 8294400, while the sum is 48.

The spelling of 342544625346 in words is "three hundred forty-two billion, five hundred forty-four million, six hundred twenty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 373 462 517 658 746 987 1034 1119 1551 1974 2238 2611 3102 3619 4103 5222 7238 7833 8206 10857 12309 15666 17531 21714 24618 28721 35062 42293 52593 57442 84586 86163 105186 122717 126879 172326 192841 245434 253758 296051 368151 385682 465223 578523 592102 736302 888153 930446 1157046 1349887 1395669 1776306 1987771 2699774 2791338 3256561 3975542 4049661 5963313 6513122 8099322 9769683 11926626 13914397 15775289 19539366 21865481 27828794 31550578 41743191 43730962 47325867 65596443 83486382 94651734 110427023 131192886 153058367 173528179 220854046 306116734 331281069 347056358 459175101 520584537 662562138 741438583 918350202 1041169074 1214697253 1482877166 2224315749 2429394506 3644091759 4448631498 5190070081 7288183518 8155824413 10380140162 15570210243 16311648826 24467473239 31140420486 48934946478 57090770891 114181541782 171272312673 342544625346