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83284380 = 223252320117
BaseRepresentation
bin1001111011011…
…01000110011100
312210201021200200
410331231012130
5132310100010
612133023500
72030622414
oct475550634
9183637620
1083284380
1143014873
1223a84b90
13143402ca
14b0bd644
1574a1cc0
hex4f6d19c

83284380 has 72 divisors (see below), whose sum is σ = 263626272. Its totient is φ = 21242496.

The previous prime is 83284379. The next prime is 83284381. The reversal of 83284380 is 8348238.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83284379) and next prime (83284381).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83284381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5919 + ... + 14198.

It is an arithmetic number, because the mean of its divisors is an integer number (3661476).

Almost surely, 283284380 is an apocalyptic number.

It is an amenable number.

83284380 is an abundant number, since it is smaller than the sum of its proper divisors (180341892).

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

83284380 is a wasteful number, since it uses less digits than its factorization.

83284380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20155 (or 20150 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83284380 is about 9126.0276133705. The cubic root of 83284380 is about 436.7046862635.

The spelling of 83284380 in words is "eighty-three million, two hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 20117 40234 60351 80468 100585 120702 181053 201170 241404 301755 362106 402340 462691 603510 724212 905265 925382 1207020 1388073 1810530 1850764 2313455 2776146 3621060 4164219 4626910 5552292 6940365 8328438 9253820 13880730 16656876 20821095 27761460 41642190 83284380