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344104092 = 223331791301
BaseRepresentation
bin10100100000101…
…001110010011100
3212222111022002000
4110200221302130
51201042312332
654051202300
711345556633
oct2440516234
9788438060
10344104092
11167268552
12972a6390
13563a06b7
14339b451a
1520321b7c
hex14829c9c

344104092 has 96 divisors (see below), whose sum is σ = 933273600. Its totient is φ = 109512000.

The previous prime is 344104073. The next prime is 344104109. The reversal of 344104092 is 290401443.

It is a super-2 number, since 2×3441040922 = 236815252262288928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263842 + ... + 265142.

It is an arithmetic number, because the mean of its divisors is an integer number (9721600).

Almost surely, 2344104092 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 344104092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466636800).

344104092 is an abundant number, since it is smaller than the sum of its proper divisors (589169508).

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

344104092 is a wasteful number, since it uses less digits than its factorization.

344104092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 344104092 is about 18550.0429110016. The cubic root of 344104092 is about 700.7502785375.

The spelling of 344104092 in words is "three hundred forty-four million, one hundred four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 79 93 108 124 158 186 237 279 316 372 474 558 711 837 948 1116 1301 1422 1674 2133 2449 2602 2844 3348 3903 4266 4898 5204 7347 7806 8532 9796 11709 14694 15612 22041 23418 29388 35127 40331 44082 46836 66123 70254 80662 88164 102779 120993 132246 140508 161324 205558 241986 264492 308337 362979 411116 483972 616674 725958 925011 1088937 1233348 1451916 1850022 2177874 2775033 3186149 3700044 4355748 5550066 6372298 9558447 11100132 12744596 19116894 28675341 38233788 57350682 86026023 114701364 172052046 344104092