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340044421200 = 2435211199371447
BaseRepresentation
bin1001111001011000011…
…10100001100001010000
31012111201021120101200020
410330230032201201100
521032402332434300
6420114140023440
733365421614121
oct4745416414120
91174637511606
10340044421200
11121237235680
1255aa0231b80
13260b21651b3
141265b594048
158ca301c8a0
hex4f2c3a1850

340044421200 has 480 divisors, whose sum is σ = 1253043133440. Its totient is φ = 77959065600.

The previous prime is 340044421177. The next prime is 340044421217. The reversal of 340044421200 is 2124440043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234998877 + ... + 235000323.

It is an arithmetic number, because the mean of its divisors is an integer number (2610506528).

Almost surely, 2340044421200 is an apocalyptic number.

340044421200 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 340044421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626521566720).

340044421200 is an abundant number, since it is smaller than the sum of its proper divisors (912998712240).

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

340044421200 is a wasteful number, since it uses less digits than its factorization.

340044421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 340044421200 its reverse (2124440043), we get a palindrome (342168861243).

The spelling of 340044421200 in words is "three hundred forty billion, forty-four million, four hundred twenty-one thousand, two hundred".