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343402400000 = 28551139023
BaseRepresentation
bin1001111111101000110…
…00001100100100000000
31012211101022012101121102
410333310120030210000
521111242003300000
6421431253113532
733544555144562
oct4776430144400
91184338171542
10343402400000
111226aa77a870
12566789288a8
13264c8a674ba
1412899543332
158decc243d5
hex4ff460c900

343402400000 has 216 divisors, whose sum is σ = 934686926208. Its totient is φ = 124870400000.

The previous prime is 343402399993. The next prime is 343402400023. The reversal of 343402400000 is 4204343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8780489 + ... + 8819511.

It is an arithmetic number, because the mean of its divisors is an integer number (4327254288).

Almost surely, 2343402400000 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 343402400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467343463104).

343402400000 is an abundant number, since it is smaller than the sum of its proper divisors (591284526208).

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

343402400000 is an frugal number, since it uses more digits than its factorization.

343402400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39075 (or 39041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 343402400000 its reverse (4204343), we get a palindrome (343406604343).

The spelling of 343402400000 in words is "three hundred forty-three billion, four hundred two million, four hundred thousand".