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346200130416 = 243721066713799
BaseRepresentation
bin1010000100110110010…
…00101100001101110000
31020002121021121211020110
411002123020230031300
521133004213133131
6423013034141320
734004106361200
oct5023310541560
91202537554213
10346200130416
11123905a48068
1257119881840
132685357b69a
1412a82d36400
159013661646
hex509b22c370

346200130416 has 120 divisors (see below), whose sum is σ = 1040539651200. Its totient is φ = 98897882496.

The previous prime is 346200130351. The next prime is 346200130417. The reversal of 346200130416 is 614031002643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346200130417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25081885 + ... + 25095683.

It is an arithmetic number, because the mean of its divisors is an integer number (8671163760).

Almost surely, 2346200130416 is an apocalyptic number.

It is an amenable number.

346200130416 is an abundant number, since it is smaller than the sum of its proper divisors (694339520784).

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

346200130416 is a wasteful number, since it uses less digits than its factorization.

346200130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24491 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 346200130416 in words is "three hundred forty-six billion, two hundred million, one hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 10667 13799 21334 27598 32001 41397 42668 55196 64002 74669 82794 85336 96593 110392 128004 149338 165588 170672 193186 220784 224007 256008 289779 298676 331176 386372 448014 512016 522683 579558 597352 662352 676151 772744 896028 1045366 1159116 1194704 1352302 1545488 1568049 1792056 2028453 2090732 2318232 2704604 3136098 3584112 4056906 4181464 4636464 5409208 6272196 8113812 8362928 10818416 12544392 16227624 25088784 32455248 147193933 294387866 441581799 588775732 883163598 1030357531 1177551464 1766327196 2060715062 2355102928 3091072593 3532654392 4121430124 6182145186 7065308784 7212502717 8242860248 12364290372 14425005434 16485720496 21637508151 24728580744 28850010868 43275016302 49457161488 57700021736 86550032604 115400043472 173100065208 346200130416