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8344980 = 22325737179
BaseRepresentation
bin11111110101010110010100
3120200222011100
4133311112110
54114014410
6454510100
7130634250
oct37652624
916628140
108344980
11478a786
122965330
131962477
141173260
15aec8c0
hex7f5594

8344980 has 144 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 1845504.

The previous prime is 8344979. The next prime is 8344993. The reversal of 8344980 is 894438.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46531 + ... + 46709.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 28344980 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 8344980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

8344980 is an abundant number, since it is smaller than the sum of its proper divisors (21532140).

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

8344980 is a wasteful number, since it uses less digits than its factorization.

8344980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8344980 is about 2888.7679034495. The cubic root of 8344980 is about 202.8344723912.

The spelling of 8344980 in words is "eight million, three hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 179 180 185 210 222 252 259 315 333 358 370 420 444 518 537 555 630 666 716 740 777 895 1036 1074 1110 1253 1260 1295 1332 1554 1611 1665 1790 2148 2220 2331 2506 2590 2685 3108 3222 3330 3580 3759 3885 4662 5012 5180 5370 6265 6444 6623 6660 7518 7770 8055 9324 10740 11277 11655 12530 13246 15036 15540 16110 18795 19869 22554 23310 25060 26492 32220 33115 37590 39738 45108 46361 46620 56385 59607 66230 75180 79476 92722 99345 112770 119214 132460 139083 185444 198690 225540 231805 238428 278166 298035 397380 417249 463610 556332 596070 695415 834498 927220 1192140 1390830 1668996 2086245 2781660 4172490 8344980