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342637344 = 25337181313
BaseRepresentation
bin10100011011000…
…011101100100000
3212212201210002000
4110123003230200
51200203343334
653555524000
711330240460
oct2433035440
9785653060
10342637344
11166456565
12968b9600
1355ca8bba
1433711ba0
1520132299
hex146c3b20

342637344 has 192 divisors, whose sum is σ = 1152103680. Its totient is φ = 97044480.

The previous prime is 342637343. The next prime is 342637387. The reversal of 342637344 is 443736243.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 342637299 and 342637308.

It is not an unprimeable number, because it can be changed into a prime (342637343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094532 + ... + 1094844.

It is an arithmetic number, because the mean of its divisors is an integer number (6000540).

Almost surely, 2342637344 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 342637344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576051840).

342637344 is an abundant number, since it is smaller than the sum of its proper divisors (809466336).

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

342637344 is a wasteful number, since it uses less digits than its factorization.

342637344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The square root of 342637344 is about 18510.4657964083. The cubic root of 342637344 is about 699.7532082395.

The spelling of 342637344 in words is "three hundred forty-two million, six hundred thirty-seven thousand, three hundred forty-four".