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8034390 = 2345713109
BaseRepresentation
bin11110101001100001010110
3120010012010000
4132221201112
54024100030
6444112130
7125201610
oct36514126
916105100
108034390
1145983a1
122835646
131883ca0
1410d1db0
15a8a860
hex7a9856

8034390 has 160 divisors (see below), whose sum is σ = 26832960. Its totient is φ = 1679616.

The previous prime is 8034373. The next prime is 8034437. The reversal of 8034390 is 934308.

8034390 = T660 + T661 + ... + T694.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73656 + ... + 73764.

It is an arithmetic number, because the mean of its divisors is an integer number (167706).

Almost surely, 28034390 is an apocalyptic number.

It is a pronic number, being equal to 2834×2835.

It is a practical number, because each smaller number is the sum of distinct divisors of 8034390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416480).

8034390 is an abundant number, since it is smaller than the sum of its proper divisors (18798570).

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

8034390 is a wasteful number, since it uses less digits than its factorization.

8034390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8034390 is about 2834.4999559005. The cubic root of 8034390 is about 200.2861736612.

Adding to 8034390 its reverse (934308), we get a palindrome (8968698).

The spelling of 8034390 in words is "eight million, thirty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 109 117 126 130 135 162 182 189 195 210 218 234 270 273 315 327 351 378 390 405 455 545 546 567 585 630 654 702 763 810 819 910 945 981 1053 1090 1134 1170 1365 1417 1526 1635 1638 1755 1890 1962 2106 2289 2457 2730 2834 2835 2943 3270 3510 3815 4095 4251 4578 4905 4914 5265 5670 5886 6867 7085 7371 7630 8190 8502 8829 9810 9919 10530 11445 12285 12753 13734 14170 14715 14742 17658 19838 20601 21255 22890 24570 25506 29430 29757 34335 36855 38259 41202 42510 44145 49595 59514 61803 63765 68670 73710 76518 88290 89271 99190 103005 114777 123606 127530 148785 178542 191295 206010 229554 267813 297570 309015 382590 446355 535626 573885 618030 803439 892710 1147770 1339065 1606878 2678130 4017195 8034390