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342196400 = 245272131779
BaseRepresentation
bin10100011001011…
…000000010110000
3212211220101012202
4110121120002300
51200100241100
653542242332
711323423100
oct2431300260
9784811182
10342196400
11166185247
12967263a8
1355b832a0
1433639200
15200967d5
hex146580b0

342196400 has 360 divisors, whose sum is σ = 1104304320. Its totient is φ = 100638720.

The previous prime is 342196381. The next prime is 342196409. The reversal of 342196400 is 4691243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342196409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4331561 + ... + 4331639.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2342196400 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 342196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552152160).

342196400 is an abundant number, since it is smaller than the sum of its proper divisors (762107920).

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

342196400 is a wasteful number, since it uses less digits than its factorization.

342196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 342196400 is about 18498.5512946285. The cubic root of 342196400 is about 699.4529058562.

The spelling of 342196400 in words is "three hundred forty-two million, one hundred ninety-six thousand, four hundred".