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84373320 = 23353137613
BaseRepresentation
bin1010000011101…
…10111101001000
312212202121102210
411001312331020
5133044421240
612212225120
72043106233
oct501667510
9185677383
1084373320
1143698a19
122430b1a0
1314631b55
14b2c441a
157619780
hex5076f48

84373320 has 128 divisors (see below), whose sum is σ = 268784640. Its totient is φ = 21150720.

The previous prime is 84373313. The next prime is 84373321. The reversal of 84373320 is 2337348.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (84373321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137334 + ... + 137946.

It is an arithmetic number, because the mean of its divisors is an integer number (2099880).

Almost surely, 284373320 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 84373320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134392320).

84373320 is an abundant number, since it is smaller than the sum of its proper divisors (184411320).

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

84373320 is a wasteful number, since it uses less digits than its factorization.

84373320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 84373320 is about 9185.4950873646. The cubic root of 84373320 is about 438.5997496905.

The spelling of 84373320 in words is "eighty-four million, three hundred seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 37 40 60 62 74 93 111 120 124 148 155 185 186 222 248 296 310 370 372 444 465 555 613 620 740 744 888 930 1110 1147 1226 1240 1480 1839 1860 2220 2294 2452 3065 3441 3678 3720 4440 4588 4904 5735 6130 6882 7356 9176 9195 11470 12260 13764 14712 17205 18390 19003 22681 22940 24520 27528 34410 36780 38006 45362 45880 57009 68043 68820 73560 76012 90724 95015 113405 114018 136086 137640 152024 181448 190030 226810 228036 272172 285045 340215 380060 453620 456072 544344 570090 680430 703111 760120 907240 1140180 1360860 1406222 2109333 2280360 2721720 2812444 3515555 4218666 5624888 7031110 8437332 10546665 14062220 16874664 21093330 28124440 42186660 84373320