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342351400 = 235210316619
BaseRepresentation
bin10100011001111…
…101111000101000
3212212012020211111
4110121331320220
51200120221100
653545440104
711324640016
oct2431757050
9785166744
10342351400
11166280746
12967a0034
1355c089c1
14336798b6
15200c76ba
hex1467de28

342351400 has 48 divisors (see below), whose sum is σ = 803743200. Its totient is φ = 135602880.

The previous prime is 342351397. The next prime is 342351407. The reversal of 342351400 is 4153243.

It is not an unprimeable number, because it can be changed into a prime (342351407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12291 + ... + 28909.

It is an arithmetic number, because the mean of its divisors is an integer number (16744650).

Almost surely, 2342351400 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 342351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401871600).

342351400 is an abundant number, since it is smaller than the sum of its proper divisors (461391800).

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

342351400 is a wasteful number, since it uses less digits than its factorization.

342351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16738 (or 16729 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 342351400 is about 18502.7403375824. The cubic root of 342351400 is about 699.5584971047.

The spelling of 342351400 in words is "three hundred forty-two million, three hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2060 2575 4120 5150 10300 16619 20600 33238 66476 83095 132952 166190 332380 415475 664760 830950 1661900 1711757 3323800 3423514 6847028 8558785 13694056 17117570 34235140 42793925 68470280 85587850 171175700 342351400