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344142892080 = 24345134085267
BaseRepresentation
bin1010000001000001000…
…00111100110000110000
31012220021220120021210000
411000200200330300300
521114301040021310
6422032544310000
733602116213611
oct5004040746060
91186256507700
10344142892080
11122a4a766499
1256844912300
13265b62b33b0
1412929a1bc08
158e42c444c0
hex502083cc30

344142892080 has 200 divisors, whose sum is σ = 1287202582512. Its totient is φ = 84712075776.

The previous prime is 344142892063. The next prime is 344142892087. The reversal of 344142892080 is 80298241443.

344142892080 is a `hidden beast` number, since 3 + 4 + 414 + 28 + 9 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (344142892087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1958394 + ... + 2126873.

Almost surely, 2344142892080 is an apocalyptic number.

344142892080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344142892080 is an abundant number, since it is smaller than the sum of its proper divisors (943059690432).

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

344142892080 is a wasteful number, since it uses less digits than its factorization.

344142892080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085305 (or 4085290 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 344142892080 in words is "three hundred forty-four billion, one hundred forty-two million, eight hundred ninety-two thousand, eighty".