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314389343400 = 233521178760527
BaseRepresentation
bin1001001001100110001…
…00001010110010101000
31010001111100000102001120
410210303010022302220
520122332132442100
6400232314415240
731466601216666
oct4446304126250
91101440012046
10314389343400
11111371651a40
1250b20431520
1323853cba6a2
1411306207c36
1582a0a9d0a0
hex493310aca8

314389343400 has 192 divisors, whose sum is σ = 1064576148480. Its totient is φ = 76117497600.

The previous prime is 314389343369. The next prime is 314389343417. The reversal of 314389343400 is 4343983413.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5163937 + ... + 5224463.

It is an arithmetic number, because the mean of its divisors is an integer number (5544667440).

Almost surely, 2314389343400 is an apocalyptic number.

314389343400 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 314389343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532288074240).

314389343400 is an abundant number, since it is smaller than the sum of its proper divisors (750186805080).

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

314389343400 is a wasteful number, since it uses less digits than its factorization.

314389343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61344 (or 61335 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 314389343400 in words is "three hundred fourteen billion, three hundred eighty-nine million, three hundred forty-three thousand, four hundred".