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8349912 = 2333293143
BaseRepresentation
bin11111110110100011011000
3120201012221000
4133312203120
54114144122
6454545000
7130654524
oct37664330
916635830
108349912
11479345a
122968160
13196479c
141174d84
15aee0ac
hex7f68d8

8349912 has 128 divisors (see below), whose sum is σ = 25344000. Its totient is φ = 2540160.

The previous prime is 8349899. The next prime is 8349919. The reversal of 8349912 is 2199438.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8349919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194163 + ... + 194205.

It is an arithmetic number, because the mean of its divisors is an integer number (198000).

Almost surely, 28349912 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 8349912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672000).

8349912 is an abundant number, since it is smaller than the sum of its proper divisors (16994088).

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

8349912 is a wasteful number, since it uses less digits than its factorization.

8349912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 8349912 is about 2889.6214284920. The cubic root of 8349912 is about 202.8744238592.

It can be divided in two parts, 8349 and 912, that added together give a cube (9261 = 213).

The spelling of 8349912 in words is "eight million, three hundred forty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 43 54 58 62 72 86 87 93 108 116 124 129 172 174 186 216 232 248 258 261 279 344 348 372 387 516 522 558 696 744 774 783 837 899 1032 1044 1116 1161 1247 1333 1548 1566 1674 1798 2088 2232 2322 2494 2666 2697 3096 3132 3348 3596 3741 3999 4644 4988 5332 5394 6264 6696 7192 7482 7998 8091 9288 9976 10664 10788 11223 11997 14964 15996 16182 21576 22446 23994 24273 29928 31992 32364 33669 35991 38657 44892 47988 48546 64728 67338 71982 77314 89784 95976 97092 115971 134676 143964 154628 194184 231942 269352 287928 309256 347913 463884 695826 927768 1043739 1391652 2087478 2783304 4174956 8349912