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344823804 = 22351329941
BaseRepresentation
bin10100100011011…
…001011111111100
3220000211212100000
4110203121133330
51201233330204
654114434300
711354645133
oct2443313774
9800755300
10344823804
1116770a256
1297592990
1356593170
1433b2091a
1520415039
hex148d97fc

344823804 has 144 divisors (see below), whose sum is σ = 1008090720. Its totient is φ = 102332160.

The previous prime is 344823793. The next prime is 344823821. The reversal of 344823804 is 408328443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365974 + ... + 366914.

It is an arithmetic number, because the mean of its divisors is an integer number (7000630).

Almost surely, 2344823804 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 344823804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504045360).

344823804 is an abundant number, since it is smaller than the sum of its proper divisors (663266916).

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

344823804 is a wasteful number, since it uses less digits than its factorization.

344823804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 344823804 is about 18569.4319783886. The cubic root of 344823804 is about 701.2384904743.

The spelling of 344823804 in words is "three hundred forty-four million, eight hundred twenty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 243 261 324 348 351 377 468 486 522 702 754 783 941 972 1044 1053 1131 1404 1508 1566 1882 2106 2262 2349 2823 3132 3159 3393 3764 4212 4524 4698 5646 6318 6786 7047 8469 9396 10179 11292 12233 12636 13572 14094 16938 20358 24466 25407 27289 28188 30537 33876 36699 40716 48932 50814 54578 61074 73398 76221 81867 91611 101628 109156 110097 122148 146796 152442 163734 183222 220194 228663 245601 304884 327468 330291 354757 366444 440388 457326 491202 660582 709514 736803 914652 982404 990873 1064271 1321164 1419028 1473606 1981746 2128542 2210409 2947212 2972619 3192813 3963492 4257084 4420818 5945238 6385626 6631227 8841636 9578439 11890476 12771252 13262454 19156878 26524908 28735317 38313756 57470634 86205951 114941268 172411902 344823804