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342201024 = 26341117353
BaseRepresentation
bin10100011001011…
…001001011000000
3212211220121120000
4110121121023000
51200100413044
653542320000
711323442424
oct2431311300
9784817500
10342201024
11166188770
1296729000
1355b85419
143363ab84
1520097d69
hex146592c0

342201024 has 280 divisors, whose sum is σ = 1175022288. Its totient is φ = 97320960.

The previous prime is 342201023. The next prime is 342201113. The reversal of 342201024 is 420102243.

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

It is a junction number, because it is equal to n+sod(n) for n = 342200988 and 342201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 969232 + ... + 969584.

Almost surely, 2342201024 is an apocalyptic number.

342201024 is a gapful number since it is divisible by the number (34) 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 342201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587511144).

342201024 is an abundant number, since it is smaller than the sum of its proper divisors (832821264).

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

342201024 is a wasteful number, since it uses less digits than its factorization.

342201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 342201024 is about 18498.6762769664. The cubic root of 342201024 is about 699.4560563429.

Adding to 342201024 its reverse (420102243), we get a palindrome (762303267).

The spelling of 342201024 in words is "three hundred forty-two million, two hundred one thousand, twenty-four".