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342108320 = 25510320759
BaseRepresentation
bin10100011001000…
…010100010100000
3212211201220101112
4110121002202200
51200034431240
653540322452
711322605231
oct2431024240
9784656345
10342108320
11166125054
12966a3428
1355b52178
1433615088
152007a665
hex146428a0

342108320 has 48 divisors (see below), whose sum is σ = 816117120. Its totient is φ = 135508224.

The previous prime is 342108307. The next prime is 342108337. The reversal of 342108320 is 23801243.

It is a super-2 number, since 2×3421083202 = 234076205226444800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6101 + ... + 26859.

It is an arithmetic number, because the mean of its divisors is an integer number (17002440).

Almost surely, 2342108320 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 342108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408058560).

342108320 is an abundant number, since it is smaller than the sum of its proper divisors (474008800).

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

342108320 is a wasteful number, since it uses less digits than its factorization.

342108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20877 (or 20869 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 342108320 is about 18496.1704144398. The cubic root of 342108320 is about 699.3928885692.

Adding to 342108320 its reverse (23801243), we get a palindrome (365909563).

The spelling of 342108320 in words is "three hundred forty-two million, one hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 16480 20759 41518 83036 103795 166072 207590 332144 415180 664288 830360 1660720 2138177 3321440 4276354 8552708 10690885 17105416 21381770 34210832 42763540 68421664 85527080 171054160 342108320