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342041400 = 23335297653
BaseRepresentation
bin10100011000110…
…010001100111000
3212211121111121000
4110120302030320
51200030311100
653535045000
711322206151
oct2430621470
9784544530
10342041400
11166089848
1296670760
1355b2a87c
14335d8928
1520065900
hex14632338

342041400 has 192 divisors, whose sum is σ = 1192111200. Its totient is φ = 90132480.

The previous prime is 342041389. The next prime is 342041407. The reversal of 342041400 is 4140243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342041407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523474 + ... + 524126.

Almost surely, 2342041400 is an apocalyptic number.

342041400 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 342041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596055600).

342041400 is an abundant number, since it is smaller than the sum of its proper divisors (850069800).

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

342041400 is a wasteful number, since it uses less digits than its factorization.

342041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 342041400 is about 18494.3613028404. The cubic root of 342041400 is about 699.3472827173.

Adding to 342041400 its reverse (4140243), we get a palindrome (346181643).

The spelling of 342041400 in words is "three hundred forty-two million, forty-one thousand, four hundred".