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342882540 = 22325711213173
BaseRepresentation
bin10100011011111…
…111100011101100
3212220012020102100
4110123333203230
51200234220130
654005055100
711332311360
oct2433774354
9786166370
10342882540
11166603800
12969b7490
13560636a0
14337772a0
152017ec60
hex146ff8ec

342882540 has 432 divisors, whose sum is σ = 1415179584. Its totient is φ = 65387520.

The previous prime is 342882539. The next prime is 342882541. The reversal of 342882540 is 45288243.

342882540 is a `hidden beast` number, since 34 + 2 + 8 + 82 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (342882539) and next prime (342882541).

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 = 342882495 and 342882504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342882541) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1981894 + ... + 1982066.

Almost surely, 2342882540 is an apocalyptic number.

342882540 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 342882540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707589792).

342882540 is an abundant number, since it is smaller than the sum of its proper divisors (1072297044).

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

342882540 is a wasteful number, since it uses less digits than its factorization.

342882540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 342882540 is about 18517.0877839902. The cubic root of 342882540 is about 699.9200861153.

The spelling of 342882540 in words is "three hundred forty-two million, eight hundred eighty-two thousand, five hundred forty".