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342414220 = 22531678243
BaseRepresentation
bin10100011010001…
…101001110001100
3212212022110000011
4110122031032030
51200124223340
653551043004
711325321121
oct2432151614
9785273004
10342414220
11166313965
1296810464
1355c2b485
1433694748
15200db0ea
hex1468d38c

342414220 has 48 divisors (see below), whose sum is σ = 753435648. Its totient is φ = 130553280.

The previous prime is 342414209. The next prime is 342414227. The reversal of 342414220 is 22414243.

It is a happy number.

342414220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 342414191 and 342414200.

It is not an unprimeable number, because it can be changed into a prime (342414227) 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 15 ways as a sum of consecutive naturals, for example, 37419 + ... + 45661.

It is an arithmetic number, because the mean of its divisors is an integer number (15696576).

Almost surely, 2342414220 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 342414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376717824).

342414220 is an abundant number, since it is smaller than the sum of its proper divisors (411021428).

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

342414220 is a wasteful number, since it uses less digits than its factorization.

342414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 342414220 is about 18504.4378460952. The cubic root of 342414220 is about 699.6012831399.

Adding to 342414220 its reverse (22414243), we get a palindrome (364828463).

The spelling of 342414220 in words is "three hundred forty-two million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 268 310 335 620 670 1340 2077 4154 8243 8308 10385 16486 20770 32972 41215 41540 82430 164860 255533 511066 552281 1022132 1104562 1277665 2209124 2555330 2761405 5110660 5522810 11045620 17120711 34241422 68482844 85603555 171207110 342414220