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342692198400 = 2113522397003
BaseRepresentation
bin1001111110010100000…
…10111111100000000000
31012202112210211102011110
410333022002333200000
521103313200322100
6421233003043320
733521142424146
oct4771202774000
91182483742143
10342692198400
111223758a28a2
12564bab10540
1326414895876
141282d0b1596
158daa6d9250
hex4fca0bf800

342692198400 has 288 divisors, whose sum is σ = 1182160586880. Its totient is φ = 87410442240.

The previous prime is 342692198399. The next prime is 342692198419. The reversal of 342692198400 is 4891296243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 342692198400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3484299 + ... + 3581301.

It is an arithmetic number, because the mean of its divisors is an integer number (4104724260).

Almost surely, 2342692198400 is an apocalyptic number.

342692198400 is a gapful number since it is divisible by the number (30) 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 342692198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591080293440).

342692198400 is an abundant number, since it is smaller than the sum of its proper divisors (839468388480).

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

342692198400 is a wasteful number, since it uses less digits than its factorization.

342692198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97061 (or 97036 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 342692198400 in words is "three hundred forty-two billion, six hundred ninety-two million, one hundred ninety-eight thousand, four hundred".