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342213300 = 22325211132659
BaseRepresentation
bin10100011001011…
…100001010110100
3212211221020101200
4110121130022310
51200101311200
653542452500
711323523262
oct2431341264
9784836350
10342213300
11166196a10
1296734130
1355b8aba0
1433641432
152009b800
hex1465c2b4

342213300 has 216 divisors, whose sum is σ = 1260648480. Its totient is φ = 76550400.

The previous prime is 342213299. The next prime is 342213301. The reversal of 342213300 is 3312243.

342213300 is a `hidden beast` number, since 342 + 21 + 3 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (342213299) and next prime (342213301).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342213301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127371 + ... + 130029.

Almost surely, 2342213300 is an apocalyptic number.

342213300 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 342213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630324240).

342213300 is an abundant number, since it is smaller than the sum of its proper divisors (918435180).

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

342213300 is a wasteful number, since it uses less digits than its factorization.

342213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 342213300 is about 18499.0080815162. The cubic root of 342213300 is about 699.4644202570.

Adding to 342213300 its reverse (3312243), we get a palindrome (345525543).

The spelling of 342213300 in words is "three hundred forty-two million, two hundred thirteen thousand, three hundred".