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341402404224 = 2737671011372
BaseRepresentation
bin1001111011111010010…
…10110100010110000000
31012122012220212002011210
410331331022310112000
521043143003413344
6420501010210120
733444161361240
oct4757512642600
91178186762153
10341402404224
111218738363a2
12561bab83940
132626a5c204b
1412749a89b20
158d32362db9
hex4f7d2b4580

341402404224 has 384 divisors, whose sum is σ = 1070093848320. Its totient is φ = 94441881600.

The previous prime is 341402404219. The next prime is 341402404237. The reversal of 341402404224 is 422404204143.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 341402404191 and 341402404200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491988284 + ... + 2491988420.

It is an arithmetic number, because the mean of its divisors is an integer number (2786702730).

Almost surely, 2341402404224 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 341402404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535046924160).

341402404224 is an abundant number, since it is smaller than the sum of its proper divisors (728691444096).

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

341402404224 is a wasteful number, since it uses less digits than its factorization.

341402404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 341402404224 its reverse (422404204143), we get a palindrome (763806608367).

The spelling of 341402404224 in words is "three hundred forty-one billion, four hundred two million, four hundred four thousand, two hundred twenty-four".