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343625750416 = 24132112732
BaseRepresentation
bin1010000000000011011…
…00001101011110010000
31012211221212110202210001
411000001230031132100
521112221143003131
6421505352215344
733553236454144
oct5000154153620
91184855422701
10343625750416
11122804861293
125671b69a554
1326533108c00
14128bb083224
158e12642261
hex5001b0d790

343625750416 has 45 divisors (see below), whose sum is σ = 720991798419. Its totient is φ = 158582431488.

The previous prime is 343625750389. The next prime is 343625750443. The reversal of 343625750416 is 614057526343.

It is a happy number.

The square root of 343625750416 is 586196.

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

It is an interprime number because it is at equal distance from previous prime (343625750389) and next prime (343625750443).

It can be written as a sum of positive squares in 4 ways, for example, as 126022160016 + 217603590400 = 354996^2 + 466480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30476556 + ... + 30487828.

Almost surely, 2343625750416 is an apocalyptic number.

343625750416 is the 586196-th square number.

It is an amenable number.

343625750416 is an abundant number, since it is smaller than the sum of its proper divisors (377366048003).

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

343625750416 is an frugal number, since it uses more digits than its factorization.

343625750416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22580 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 343625750416 in words is "three hundred forty-three billion, six hundred twenty-five million, seven hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 11273 22546 45092 90184 146549 180368 293098 586196 1172392 1905137 2344784 3810274 7620548 15241096 30482192 127080529 254161058 508322116 1016644232 1652046877 2033288464 3304093754 6608187508 13216375016 21476609401 26432750032 42953218802 85906437604 171812875208 343625750416