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342431300 = 225219374871
BaseRepresentation
bin10100011010010…
…001011001000100
3212212100022102202
4110122101121010
51200130300200
653551254032
711325421661
oct2432213104
9785308382
10342431300
11166325782
129681a318
1355c36193
143369aa68
15200e11d5
hex14691644

342431300 has 72 divisors (see below), whose sum is σ = 803490240. Its totient is φ = 126230400.

The previous prime is 342431279. The next prime is 342431311. The reversal of 342431300 is 3134243.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 67865 + ... + 72735.

Almost surely, 2342431300 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 342431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401745120).

342431300 is an abundant number, since it is smaller than the sum of its proper divisors (461058940).

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

342431300 is a wasteful number, since it uses less digits than its factorization.

342431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 342431300 is about 18504.8993512529. The cubic root of 342431300 is about 699.6129152417.

Adding to 342431300 its reverse (3134243), we get a palindrome (345565543).

The spelling of 342431300 in words is "three hundred forty-two million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 185 190 370 380 475 703 740 925 950 1406 1850 1900 2812 3515 3700 4871 7030 9742 14060 17575 19484 24355 35150 48710 70300 92549 97420 121775 180227 185098 243550 360454 370196 462745 487100 720908 901135 925490 1802270 1850980 2313725 3424313 3604540 4505675 4627450 6848626 9011350 9254900 13697252 17121565 18022700 34243130 68486260 85607825 171215650 342431300