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342063540 = 223357136961
BaseRepresentation
bin10100011000110…
…111100110110100
3212211122121222000
4110120313212310
51200032013130
653535335300
711322330540
oct2430674664
9784577860
10342063540
111660a4445
1296681530
1355b37980
1433602a20
152006c260
hex146379b4

342063540 has 192 divisors, whose sum is σ = 1309969920. Its totient is φ = 72161280.

The previous prime is 342063529. The next prime is 342063541. The reversal of 342063540 is 45360243.

342063540 is a `hidden beast` number, since 3 + 4 + 20 + 635 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342063541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45660 + ... + 52620.

It is an arithmetic number, because the mean of its divisors is an integer number (6822760).

Almost surely, 2342063540 is an apocalyptic number.

342063540 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 342063540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654984960).

342063540 is an abundant number, since it is smaller than the sum of its proper divisors (967906380).

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

342063540 is a wasteful number, since it uses less digits than its factorization.

342063540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 342063540 is about 18494.9598539710. The cubic root of 342063540 is about 699.3623717433.

The spelling of 342063540 in words is "three hundred forty-two million, sixty-three thousand, five hundred forty".