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342002736100 = 2252584812
BaseRepresentation
bin1001111101000001111…
…00111001101111100100
31012200202202111002200201
410332200330321233210
521100410200023400
6421040333320244
733465101202034
oct4764074715744
91180682432621
10342002736100
111220516a0643
1256348036084
1326334aa59cc
14127a56bb8c4
158d69de906a
hex4fa0f39be4

342002736100 has 27 divisors (see below), whose sum is σ = 742158627931. Its totient is φ = 136798755200.

The previous prime is 342002736077. The next prime is 342002736107. The reversal of 342002736100 is 1637200243.

The square root of 342002736100 is 584810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 72342709156 + 269660026944 = 268966^2 + 519288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342002736107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5818860 + ... + 5877340.

Almost surely, 2342002736100 is an apocalyptic number.

342002736100 is the 584810-th square number.

It is an amenable number.

342002736100 is an abundant number, since it is smaller than the sum of its proper divisors (400155891831).

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

342002736100 is an frugal number, since it uses more digits than its factorization.

342002736100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116976 (or 58488 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 342002736100 its reverse (1637200243), we get a palindrome (343639936343).

The spelling of 342002736100 in words is "three hundred forty-two billion, two million, seven hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 58481 116962 233924 292405 584810 1169620 1462025 2924050 5848100 3420027361 6840054722 13680109444 17100136805 34200273610 68400547220 85500684025 171001368050 342002736100