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342790272 = 27331171127
BaseRepresentation
bin10100011011101…
…001000010000000
3212220000112212000
4110123221002000
51200223242042
654003104000
711331445356
oct2433510200
9786015760
10342790272
11166550450
1296972000
13560306a6
14337517d6
152016274c
hex146e9080

342790272 has 256 divisors, whose sum is σ = 1128038400. Its totient is φ = 101606400.

The previous prime is 342790241. The next prime is 342790309. The reversal of 342790272 is 272097243.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2699073 + ... + 2699199.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2342790272 is an apocalyptic number.

342790272 is a gapful number since it is divisible by the number (32) 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 342790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564019200).

342790272 is an abundant number, since it is smaller than the sum of its proper divisors (785248128).

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

342790272 is a wasteful number, since it uses less digits than its factorization.

342790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 342790272 is about 18514.5961878730. The cubic root of 342790272 is about 699.8572988022.

The spelling of 342790272 in words is "three hundred forty-two million, seven hundred ninety thousand, two hundred seventy-two".