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3397690421400 = 23352111249412171
BaseRepresentation
bin110001011100010110001…
…000010111000010011000
3110000211000212221220012210
4301130112020113002120
5421131432221441100
611120513305235120
7500321636030562
oct61342610270230
913024025856183
103397690421400
11109aa52735530
1246a5b3792aa0
131b8529821292
14ba640456332
155d5ad4c7c50
hex31716217098

3397690421400 has 192 divisors, whose sum is σ = 11499598800000. Its totient is φ = 823021056000.

The previous prime is 3397690421393. The next prime is 3397690421417. The reversal of 3397690421400 is 41240967933.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3397690421400.

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 47 ways as a sum of consecutive naturals, for example, 8037315 + ... + 8449485.

It is an arithmetic number, because the mean of its divisors is an integer number (59893743750).

Almost surely, 23397690421400 is an apocalyptic number.

3397690421400 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 3397690421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749799400000).

3397690421400 is an abundant number, since it is smaller than the sum of its proper divisors (8101908378600).

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

3397690421400 is a wasteful number, since it uses less digits than its factorization.

3397690421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413450 (or 413441 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 3397690421400 in words is "three trillion, three hundred ninety-seven billion, six hundred ninety million, four hundred twenty-one thousand, four hundred".