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342498240 = 2633572809
BaseRepresentation
bin10100011010100…
…001101111000000
3212212110201021000
4110122201233000
51200134420430
653552532000
711326121100
oct2432415700
9785421230
10342498240
11166370aa7
1296851000
1355c5a7a6
14336b7200
1520105e60
hex146a1bc0

342498240 has 336 divisors, whose sum is σ = 1407261600. Its totient is φ = 78188544.

The previous prime is 342498229. The next prime is 342498241. The reversal of 342498240 is 42894243.

342498240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 342498195 and 342498204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342498241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422956 + ... + 423764.

Almost surely, 2342498240 is an apocalyptic number.

342498240 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 342498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703630800).

342498240 is an abundant number, since it is smaller than the sum of its proper divisors (1064763360).

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

342498240 is a wasteful number, since it uses less digits than its factorization.

342498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 342498240 is about 18506.7079730567. The cubic root of 342498240 is about 699.6585000906.

The spelling of 342498240 in words is "three hundred forty-two million, four hundred ninety-eight thousand, two hundred forty".