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342085248 = 2733312103
BaseRepresentation
bin10100011000111…
…100111010000000
3212211200201202000
4110120330322000
51200033211443
653540024000
711322451041
oct2430747200
9784621660
10342085248
1116610978a
1296692000
1355b4480b
143360a8c8
15200738d3
hex1463ce80

342085248 has 192 divisors, whose sum is σ = 1053374400. Its totient is φ = 109278720.

The previous prime is 342085243. The next prime is 342085297. The reversal of 342085248 is 842580243.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (342085243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3321165 + ... + 3321267.

It is an arithmetic number, because the mean of its divisors is an integer number (5486325).

Almost surely, 2342085248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526687200).

342085248 is an abundant number, since it is smaller than the sum of its proper divisors (711289152).

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

342085248 is a wasteful number, since it uses less digits than its factorization.

342085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 139 counting only the distinct ones).

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

The square root of 342085248 is about 18495.5467072482. The cubic root of 342085248 is about 699.3771657172.

The spelling of 342085248 in words is "three hundred forty-two million, eighty-five thousand, two hundred forty-eight".