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342876240 = 2434577559
BaseRepresentation
bin10100011011111…
…110000001010000
3212220011220210000
4110123332001100
51200234014430
654005010000
711332254120
oct2433760120
9786156700
10342876240
111665a9aa3
12969b3900
1356060865
1433774c80
152017ce60
hex146fe050

342876240 has 200 divisors, whose sum is σ = 1361162880. Its totient is φ = 78361344.

The previous prime is 342876229. The next prime is 342876263. The reversal of 342876240 is 42678243.

342876240 is a `hidden beast` number, since 3 + 4 + 28 + 7 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342876195 and 342876204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41581 + ... + 49139.

Almost surely, 2342876240 is an apocalyptic number.

342876240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

342876240 is an abundant number, since it is smaller than the sum of its proper divisors (1018286640).

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

342876240 is a wasteful number, since it uses less digits than its factorization.

342876240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 342876240 is about 18516.9176700659. The cubic root of 342876240 is about 699.9157993960.

The spelling of 342876240 in words is "three hundred forty-two million, eight hundred seventy-six thousand, two hundred forty".