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342501320 = 23576718257
BaseRepresentation
bin10100011010100…
…010011111001000
3212212110212111002
4110122202133020
51200140020240
653552554132
711326133060
oct2432423710
9785425432
10342501320
11166373347
1296852948
1355c5c005
14336b83a0
1520106d15
hex146a27c8

342501320 has 64 divisors (see below), whose sum is σ = 893911680. Its totient is φ = 115670016.

The previous prime is 342501311. The next prime is 342501377. The reversal of 342501320 is 23105243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 342501292 and 342501301.

It is an unprimeable number.

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, 9632 + ... + 27888.

It is an arithmetic number, because the mean of its divisors is an integer number (13967370).

Almost surely, 2342501320 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 342501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446955840).

342501320 is an abundant number, since it is smaller than the sum of its proper divisors (551410360).

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

342501320 is a wasteful number, since it uses less digits than its factorization.

342501320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18342 (or 18338 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 342501320 is about 18506.7911859404. The cubic root of 342501320 is about 699.6605973683.

Adding to 342501320 its reverse (23105243), we get a palindrome (365606563).

The spelling of 342501320 in words is "three hundred forty-two million, five hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4690 9380 18257 18760 36514 73028 91285 127799 146056 182570 255598 365140 511196 638995 730280 1022392 1223219 1277990 2446438 2555980 4892876 5111960 6116095 8562533 9785752 12232190 17125066 24464380 34250132 42812665 48928760 68500264 85625330 171250660 342501320