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344108828644 = 227237263180419
BaseRepresentation
bin1010000000111100111…
…11000000011111100100
31012220012112110200112021
411000132133000133210
521114213330004034
6422025330232524
733601223532400
oct5003637003744
91186175420467
10344108828644
11122a32510099
1256835425744
13265ac217a09
14129252b2100
158e3ec666b4
hex501e7c07e4

344108828644 has 72 divisors (see below), whose sum is σ = 722179402560. Its totient is φ = 142943016384.

The previous prime is 344108828611. The next prime is 344108828659. The reversal of 344108828644 is 446828801443.

It is a junction number, because it is equal to n+sod(n) for n = 344108828591 and 344108828600.

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, 1817067 + ... + 1997485.

It is an arithmetic number, because the mean of its divisors is an integer number (10030269480).

Almost surely, 2344108828644 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 344108828644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361089701280).

344108828644 is an abundant number, since it is smaller than the sum of its proper divisors (378070573916).

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

344108828644 is a wasteful number, since it uses less digits than its factorization.

344108828644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180737 (or 180728 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 52.

The spelling of 344108828644 in words is "three hundred forty-four billion, one hundred eight million, eight hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 263 518 526 1036 1052 1813 1841 3626 3682 7252 7364 9731 12887 19462 25774 38924 51548 68117 136234 180419 272468 360838 476819 721676 953638 1262933 1907276 2525866 5051732 6675503 8840531 13351006 17681062 26702012 35362124 46728521 47450197 93457042 94900394 186914084 189800788 327099647 332151379 654199294 664302758 1308398588 1328605516 1755657289 2325059653 3511314578 4650119306 7022629156 9300238612 12289601023 24579202046 49158404092 86027207161 172054414322 344108828644