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341362084644 = 22347246372
BaseRepresentation
bin1001111011110101100…
…01000000101100100100
31012122010002222122010000
410331322301000230210
521043102143202034
6420453010101300
733443161562400
oct4757261005444
91178102878100
10341362084644
11121852aa7729
12561a957a830
1326262145bc9
1412744592100
158d2da4b599
hex4f7ac40b24

341362084644 has 135 divisors (see below), whose sum is σ = 1038307823553. Its totient is φ = 97510990752.

The previous prime is 341362084639. The next prime is 341362084667. The reversal of 341362084644 is 446480263143.

The square root of 341362084644 is 584262.

It is a perfect power (a square), and thus also a powerful number.

341362084644 is a `hidden beast` number, since 3 + 4 + 13 + 620 + 8 + 4 + 6 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85819702500 + 255542382144 = 292950^2 + 505512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 341362084644.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73614694 + ... + 73619330.

Almost surely, 2341362084644 is an apocalyptic number.

341362084644 is the 584262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341362084644

341362084644 is an abundant number, since it is smaller than the sum of its proper divisors (696945738909).

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

341362084644 is an frugal number, since it uses more digits than its factorization.

341362084644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9304 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 341362084644 in words is "three hundred forty-one billion, three hundred sixty-two million, eighty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 4637 5292 7938 9274 13911 15876 18548 27822 32459 41733 55644 64918 83466 97377 125199 129836 166932 194754 227213 250398 292131 375597 389508 454426 500796 584262 681639 751194 876393 908852 1168524 1363278 1502388 1752786 2044917 2629179 2726556 3505572 4089834 5258358 6134751 8179668 10516716 12269502 18404253 21501769 24539004 36808506 43003538 64505307 73617012 86007076 129010614 150512383 193515921 258021228 301024766 387031842 451537149 580547763 602049532 774063684 903074298 1053586681 1161095526 1354611447 1741643289 1806148596 2107173362 2322191052 2709222894 3160760043 3483286578 4063834341 4214346724 5418445788 6321520086 6966573156 8127668682 9482280129 12191503023 12643040172 16255337364 18964560258 24383006046 28446840387 37929120516 48766012092 56893680774 85340521161 113787361548 170681042322 341362084644