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344114422040 = 23579193564233
BaseRepresentation
bin1010000000111101101…
…00010110000100011000
31012220012220222212020002
411000132310112010120
521114221243001130
6422030050152132
733601322216564
oct5003664260430
91186186885202
10344114422040
11122a35690534
1256837282648
13265b042590c
1412925d2a6a4
158e404bdb45
hex501ed16118

344114422040 has 64 divisors (see below), whose sum is σ = 788122051200. Its totient is φ = 135199014912.

The previous prime is 344114422033. The next prime is 344114422061. The reversal of 344114422040 is 40224411443.

It is a junction number, because it is equal to n+sod(n) for n = 344114421994 and 344114422012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327764 + ... + 891996.

It is an arithmetic number, because the mean of its divisors is an integer number (12314407050).

Almost surely, 2344114422040 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 344114422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394061025600).

344114422040 is an abundant number, since it is smaller than the sum of its proper divisors (444007629160).

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

344114422040 is a wasteful number, since it uses less digits than its factorization.

344114422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564516 (or 564512 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 344114422040 its reverse (40224411443), we get a palindrome (384338833483).

The spelling of 344114422040 in words is "three hundred forty-four billion, one hundred fourteen million, four hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 193 316 386 395 632 772 790 965 1544 1580 1930 3160 3860 7720 15247 30494 60988 76235 121976 152470 304940 564233 609880 1128466 2256932 2821165 4513864 5642330 11284660 22569320 44574407 89148814 108896969 178297628 217793938 222872035 356595256 435587876 445744070 544484845 871175752 891488140 1088969690 1782976280 2177939380 4355878760 8602860551 17205721102 34411442204 43014302755 68822884408 86028605510 172057211020 344114422040