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343705477696 = 2672194292
BaseRepresentation
bin1010000000001100111…
…00010110001001000000
31012212011102111100001021
411000012130112021000
521112402100241241
6421521321115224
733555225233200
oct5000634261100
91185142440037
10343705477696
111228458665a9
1256742328b14
13265467a2109
14128c78b8400
158e196400d1
hex5006716240

343705477696 has 315 divisors, whose sum is σ = 867345352809. Its totient is φ = 134737537536.

The previous prime is 343705477681. The next prime is 343705477733. The reversal of 343705477696 is 696774507343.

The square root of 343705477696 is 586264.

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

It can be written as a sum of positive squares in only one way, i.e., 180230815296 + 163474662400 = 424536^2 + 404320^2 .

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, 11851913010 + ... + 11851913038.

Almost surely, 2343705477696 is an apocalyptic number.

343705477696 is the 586264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343705477696

343705477696 is an abundant number, since it is smaller than the sum of its proper divisors (523639875113).

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

343705477696 is an frugal number, since it uses more digits than its factorization.

343705477696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 61.

The spelling of 343705477696 in words is "three hundred forty-three billion, seven hundred five million, four hundred seventy-seven thousand, six hundred ninety-six".